Origen says in his Commentary on Matthew:
And if we too have said like Peter, 'Thou art the Christ, the Son of the living God,' not as if flesh and blood had revealed it unto us, but by the light from the Father in heaven having shone in our heart, we become a Peter, and to us there might be said by the Word, 'Thou art Peter, 'etc. For a rock is every disciple of Christ of whom those drank who drank of the spiritual rock which followed them, and upon every such rock is built every word of the Church, and the polity in accordance with it; for in each of the perfect, who have the combination of words and deeds and thoughts which fill up the blessedness, is the church built by God.
But if you suppose that upon the one Peter only the whole church is built by God, what would you say about John the son of thunder or each one of the Apostles? Shall we otherwise dare to say, that against Peter in particular the gates of Hades shall not prevail, but that they shall prevail against the other Apostles and the perfect? Does not the saying previously made, 'The gates of Hades shall not prevail against it,' hold in regard to all and in the case of each of them? And also the saying, 'Upon this rock I will build My Church?' Are the keys of the kingdom of heaven given by the Lord to Peter only, and will no other of the blessed receive them? But if this promise, 'I will give unto thee the keys of the kingdom of heaven,' be common to others, how shall not all things previously spoken of, and the things which are subjoined as having been addressed to Peter, be common to them?
'Thou art the Christ, the Son of the living God.' If any one says this to Him...he will obtain the things that were spoken according to the letter of the Gospel to that Peter, but, as the spirit of the Gospel teaches to every one who becomes such as that Peter was. For all bear the surname 'rock' who are the imitators of Christ, that is, of the spiritual rock which followed those who are being saved, that they may drink from it the spiritual drought. But these bear the surname of rock just as Christ does. But also as members of Christ deriving their surname from Him they are called Christians, and from the rock, Peters And to all such the saying of the Savior might be spoken, 'Thou art Peter' etc., down to the words, 'prevail against it. 'But what is the it? Is it the rock upon which Christ builds the Church, or is it the Church? For the phrase is ambiguous. Or is it as if the rock and the Church were one and the same? This I think to be true; for neither against the rock on which Christ builds His Church, nor against the Church will the gates of Hades prevail. Now, if the gates of Hades prevail against any one, such an one cannot be a rock upon which the Christ builds the Church, nor the Church built by Jesus upon the rock.
Here are two citations from the Council of Carthage under St. Cyprian:
For no one [of us] has set himself up [to be] bishop of bishops or attempted with tyrannical dread to force his colleagues to obedience to him, since every bishop has, for the license of liberty and power, his own will, and as he cannot be judged by another, so neither can he judge another. But we await the judgment of our universal Lord, our Lord Jesus Christ, who one and alone hath the power, both of advancing us in the governance of his Church, and of judging of our actions [in that position].
And again,
If any Clergyman have a matter against another clergyman, he shall not forsake his bishop and run to secular courts; but let him first lay open the matter before his own Bishop, or let the matter be submitted to any person whom each of the parties may, with the Bishop's consent, select. And if any one shall contravene these decrees, let him be subjected to canonical penalties. And if a clergyman have a complaint against his own or any other bishop, let it be decided by the synod of the province. And if a bishop or clergyman should have a difference with the metropolitan of the province, let him have recourse to the Exarch of the Diocese, or to the throne of the Imperial City of Constantinople, and there let it be tried.