At Pentecost, of course. As to the rest, Peter was imperfect, as all Popes are, which is why they have the special guidance of the Holy Spirit to keep them from screwing up in a way that causes "the gates of hell to prevail against it (the Church)". That's what "papal infallibility" is all about.
On his visit to Jerusalem "to see Peter and James", Paul spent fifteen days closeted with PETER (I wonder why?? Do you think they might have been discussing something important??)
And you appear to have forgotten when Paul and Barnabas appeared before the Apostles to be confirmed in their roles as bishops (by the "laying on of hands"---aka the Sacrament of Holy Orders). So it appears that Paul DID think it was somewhat important to have the blessing of the the other Apostles.
"He wasn’t at Rome in 58 A.D. when Paul wrote to the church at Rome. He wasn’t in Rome when Paul was first imprisoned there in 61 A.D nor in his last imprisonment in 67 A.D. for there is no mention of him in Paul’s letters."
So?? Peter traveled to found Churches just as Paul did. He just wasn't as prolific a letter writer.
"He specifically states in his last latter to Timothy all had forsaken him and none stood with him. The only one with him at the time of the writing was Luke."
And why would Peter "be with him"?? They both had responsibilities to be about the Lord's business, not spend time crying on one another's shoulders.
I suggest you read "On This Rock" by Stephen K. Ray. He documents (in exquisite detail) the Scriptural and historical evidence for Peter's primacy, and totally blows the Orthodox and Protestant "positions" away.
“And you appear to have forgotten when Paul and Barnabas appeared before the Apostles to be confirmed in their roles as bishops (by the “laying on of hands”-—aka the Sacrament of Holy Orders).”
I must have missed this. Where do you find this in the scriptures?
“On his visit to Jerusalem “to see Peter and James”, Paul spent fifteen days closeted with PETER”
You forgot he was also with James, the Lord’s brother. I think he would have learned more from him than Peter.
“Peter traveled to found Churches just as Paul did.”
List just one church that Peter founded. It wasn’t the Jerusalem church since that was established by the Apostles and they selected James, brother of John, as the first leader and then James, the Lord’s brother. It certainly was not Rome since there is no mention of him in Paul’s letter.