For no-one can lay any foundation other the one already laid, which is Jesus Christ.
...built on the foundation of the apostles and prophets, with Christ Jesus himself as the chief cornerstone.
As you come to him, the living Stone — rejected by men but chosen by God and precious to him — you also, like living stones, are being built into a spiritual house to be a holy priesthood, offering spiritual sacrifices acceptable to God through Jesus Christ. For in Scripture it says, "See, I lay a stone in Zion, a chosen and precious cornerstone, and the one who trusts in him will never be put to shame."
The walls of the city had twelve foundations, and on them were the names of the twelve apostles of the Lamb.
[T]he Lord said to Peter, ‘On this rock I will build my Church, I have given you the keys of the kingdom of heaven [and] whatever you shall have bound or loosed on earth will be bound or loosed in heaven’ [Matt. 16:18–19] ... What kind of man are you, subverting and changing what was the manifest intent of the Lord when he conferred this personally upon Peter? Upon you, he says, I will build my Church; and I will give to you the keys. (Tertullian, Modesty 21:9–10, AD220)
Look at [Peter], the great foundation of the Church, that most solid of rocks, upon whom Christ built the Church [Matt. 16:18]. And what does our Lord say to him? ‘Oh you of little faith,’ he says, ‘why do you doubt?’ [Matt. 14:31]. (Origen, Homilies on Exodus 5:4, AD248)
There is one God and one Christ, and one Church, and one chair founded on Peter by the word of the Lord. It is not possible to set up another altar or for there to be another priesthood besides that one altar and thata one priesthood. Whoever has gathered elsewhere is scattering. (Cyprian of Carthage, Letters 43[40]:5, AD253)
You cannot deny that you are aware that in the city of Rome the episcopal chair was given first to Peter; the chair in which Peter sat, the same who was head—that is why he is also called Cephas [‘Rock’]—of all the apostles; the one chair in which unity is maintained by all. (Optatus, The Schism of the Donatists 2:2, AD367)
Philip, the presbyter and legate of the Apostolic See [Rome], said: ‘There is no doubt, and in fact it has been known in all ages, that the holy and most blessed Peter, prince and head of the apostles, pillar of the faith, and foundation of the Catholic Church, received the keys of the kingdom from our Lord Jesus Christ, the Savior and Redeemer of the human race, and that to him was given the power of loosing and binding sins: who down even to today and forever both lives and judges in his successors’. (Council of Ephesus, Acts of the Council, session 3, AD431)
Wherefore the most holy and blessed Leo, archbishop of the great and elder Rome, through us, and through this present most holy synod, together with the thrice blessed and all-glorious Peter the apostle, who is the rock and foundation of the Catholic Church, and the foundation of the orthodox faith, has stripped him [Dioscorus] of the episcopate. (Council of Chalcedon, Acts of the Council, session 3, AD451).