I don't remember where I first heard about this argument, but I was surprised that not many Catholics have quoted it when discussing the Scriptural proofs for the Papacy. The argument comes from the Parable found in Matthew 24:45-51 and also in Luke 12:
35 “Stay dressed for action and keep your lamps burning, 36 and be like men who are waiting for their master to come home from the wedding feast, so that they may open the door to him at once when he comes and knocks. 37 Blessed are those servants whom the master finds awake when he comes. Truly, I say to you, he will dress himself for service and have them recline at table, and he will come and serve them. 38 If he comes in the second watch, or in the third, and finds them awake, blessed are those servants! 39 But know this, that if the master of the house had known at what hour the thief was coming, he would not have left his house to be broken into. 40 You also must be ready, for the Son of Man is coming at an hour you do not expect.”
41 Peter said, “Lord, are you telling this parable for us or for all?” 42 And the Lord said, “Who then is the faithful and wise manager, whom his master will set over his household, to give them their portion of food at the proper time? 43 Blessed is that servant whom his master will find so doing when he comes. 44 Truly, I say to you, he will set him over all his possessions. 45 But if that servant says to himself, ‘My master is delayed in coming,’ and begins to beat the male and female servants, and to eat and drink and get drunk, 46 the master of that servant will come on a day when he does not expect him and at an hour he does not know, and will cut him in pieces and put him with the unfaithful. 47 And that servant who knew his master's will but did not get ready or act according to his will, will receive a severe beating. 48 But the one who did not know, and did what deserved a beating, will receive a light beating. Everyone to whom much was given, of him much will be required, and from him to whom they entrusted much, they will demand the more.
On the 'ordinary level' of this analogy, Jesus is explaining that a Master can put a chief servant in charge to the Master's place while the Master is away. This only makes sense to our everyday experiences, for it would be ridiculous to suggest a wealthy land owner would not put anyone in charge of his workers. But even more than this, the natural mind knows that it makes the most sense to delegate one person as the chief steward, as this hierarchy will be the best way to preserve order and unity. In this parable, Jesus is responding to Peter, who clearly is the spokesman for the rest of the Apostles, and Jesus responds with this Parable speaking of a singular chief steward. This chief steward is even said to have the task of delegating food to the household. This is a beautiful description of the duty and role of the Pope. This is an obvious proof that Jesus entrusted Peter with "more responsibility" that others, and in turn demands those who fill the Papal office have have "more demanded" from them.
The Eastern Orthodox might say that Jesus was saying all 12 Apostles are signified by the chief steward, but I do not see this as plausible by the fact Jesus is speaking in the singular when He could (and does elsewhere) speak of servants in the plural in the parable just before this (Luke 12:35-40). Plus, it would not correspond to any actual real-life example, for there is no such thing as "master of the house" in plural, since in the real world this structure devolves into factions.
I see no other coherent or plausible alternative interpretation than what I've just given. Sure you can say every Christian can be inserted into this parable, and that's true to an extent, but any attempts to downplay or eliminate the overtones of hierarchy is simply doing violence to the text. The parable is saying Peter is the "master of the house," the chief steward, to which the other 11 are immediately under him, and collectively they run the Lord's House, the Church.
Update: January 26, 2013.
While I do not have the tools to easily search through what verses the Fathers have commented upon, I found that most of the Fathers who comment upon the Faithful Servant parable speak in general terms about it. But I did find this quote from St Ambrose from the mid 300s:
Update: January 26, 2013.
While I do not have the tools to easily search through what verses the Fathers have commented upon, I found that most of the Fathers who comment upon the Faithful Servant parable speak in general terms about it. But I did find this quote from St Ambrose from the mid 300s:
1. “Who, then, is a faithful and wise servant, whom his lord hath made ruler over his household, to give them meat in due season? Blessed is that servant, whom his lord when he cometh shall find so doing.” Not worthless is this servant: some great one ought he to be. Let us think who he may be.St Ambrose says the ideal figure for the Faithful Servant who feeds the household is St Peter, leader of the Church and given the duty to "Feed Christ's Sheep". This confirms the argument I originally made that this Parable especially applies to Peter.
2. It is Peter, chosen by the Lord Himself to feed His flock, who merits thrice to hear the words: “Feed My little lambs; feed My lambs; feed My sheep.” And so, by feeding well the flock of Christ with the food of faith, he effaced the sin of his former fall. For this reason is he thrice admonished to feed the flock; thrice is he asked whether he loves the Lord, in order that he may thrice confess Him, Whom he had thrice denied before His Crucifixion.