Per the lack of evidence of Roman Petrine authority in the Ancient Church, I'd cite St. Irenaues of Lyons (although there are others, he is the most clear).
From, "Against the Heresies III, Preface - 4.2
To enumerate the successions of all the churches woudl take up too much space in a volume of this kind. But in order to put to shame all those who in any way, either through self-conceit, or through vainglory, or through blind and evil opinion, gather as they should not, I need only cite of that very great, most ancient and universally known church founded and established at Rome by those two most glorious apostles Peter and Paul and draw attention to the tradition which that church has received from the apostles and to the faith it preaches which has come down to our time through the succession of bishops. For in view of the outstanding pre-eminence of this church, there cannot be any disagreement between it and every other church (that is, the faithful in every place) every church, that is, in which men in every place have at all times preserved the apostolic tradition.