Except, of course, when Paul publicly disagreed with and rebuked Peter. It’s in his epistles.
As one of the 12 there’s no doubt that Peter had influence. I wouldn’t deny that. James and John had influence as well. That influence was godly guidance by experienced faithful, not decrees of damnation or threats of law suits (ala ECUSA). The leadership method recorded in the New Testament and the Apostolic Fathers shows that the early bishops approached issues by submitting to the Holy Spirit to guide them. Truth is not voted on in council or decreed by one mortal for all others to obey; it is revealed by the Lord through humble prayer and fasting.
I guess you suppose that the Pope, when he's speaking 'ex cathedra' is spouting his own personal opinion? Nothing could be further from the truth. When the Pope and the Cardinals, in conjunction with the Bishops of the world make a pronouncement, it is done after MUCH fasting and praying and with the guidance of the Holy Spirit. That's precisely WHY there are Councils; so one man doesn't make decisions for the whole Church.
And the Church teaches that the Pope speaks infallibly ONLY in the instance I just described. It has only happened a few times in the history of the Church.