There seems to be a reluctance to point out 'the elephant in the room' - that Peter is the most revered of the apostles to the
majority of Christians. He was the first head of the Church of Rome and was the first step in the apostolic succession claimed both by Catholics and Orthodox Christians.
Peter is sometimes depicted in the Gospels as spokesman for the Apostles and he certainly seems to have been one of Jesus' favorites. Catholics, Eastern Orthodox, Oriental Orthodox and Coptic Orthodox refer to Peter as the chief or head of the apostles.
Perhaps just to be different, or perhaps just to belittle the apostolic succession
, many Protestants deny that Peter was in any way special to Jesus. That seems to dismiss the reports that,
for some reason, Jesus changed Simon's name to 'rock' on the day he met him. Much later He said, .... "
on this rock I will build my church". That could have been a witticism or Jesus could have known on the day they met, what he would want Simon/Peter/rock to do. No one really expected Jesus to act as a carpenter or stonemason in the building of His church. His words were always metaphorical and can quite reasonably be taken to mean that he wanted Peter to be the 'foundation' of His church.
Complying with Jesus' apparent wishes, Peter went to the 'center of the world', Rome, and became the first Bishop of Rome (or whatever title you may wish to give him) before being executed some 25 years later. The problem is that we now have little idea what form of Christianity Peter 'taught' in Rome. His own Gospel was declared Gnostic some 300 years later and is left out of the Bible. Paul, instead, becomes far more prominent because of his many writings which have been widely accepted as divinely inspired even where they conflict with the teaching of Jesus.
Shortly after the creation of the Bible, Theodosius burned every historical and religious document which in any way conflicted with The Bible, so we have a worrying gap in our knowledge of the early Christian church
es. The precise answer to your question is unknown largely because of that act of mass vandalism by Theodosius. I have grave doubts about the trustworthiness and motives of people who do such things. Hitler was into burning books as well
James, another favorite and potential leader of the apostles, became Bishop of Jerusalem but that Church pretty well died out. THE 'Church' then, that He has built, like it or not, stems from Peter. That is exactly what Jesus appears to be saying He will do.... '
upon this rock I will build my Church'.