Just a handful of the many references to the primacy of Peter in Scriptures:
Mark 14:37 - at Gethsemane, Jesus asks Peter, and no one else, why he was asleep. Peter is accountable to Jesus for his actions on behalf of the apostles because he has been appointed by Jesus as their leader.
Mark 16:7 - Peter is specified by an angel as the leader of the apostles as the angel confirms the resurrection of Christ.
Luke 5:3 – Jesus teaches from Peter’s boat which is metaphor for the Church. Jesus guides Peter and the Church into all truth.
Luke 5:4,10 - Jesus instructs Peter to let down the nets for a catch, and the miraculous catch follows. Peter, the Pope, is the “fisher of men.”
Luke 7:40-50- Jesus addresses Peter regarding the rule of forgiveness and Peter answers on behalf of the disciples. Jesus also singles Peter out and judges his conduct vis-à-vis the conduct of the woman who anointed Him.
Luke 8:45 - when Jesus asked who touched His garment, it is Peter who answers on behalf of the disciples.
Luke 8:51; 9:28; 22:8; Acts 1:13; 3:1,3,11; 4:13,19; 8:14 - Peter is always mentioned before John, the disciple whom Jesus loved.
Luke 9:28;33 - Peter is mentioned first as going to mountain of transfiguration and the only one to speak at the transfiguration.
Luke 12:41 - Peter seeks clarification of a parable on behalf on the disciples. This is part of Peter’s formation as the chief shepherd of the flock after Jesus ascended into heaven.
Luke 22:31-32 - Jesus prays for Peter alone, that his faith may not fail, and charges him to strengthen the rest of the apostles.
Luke 24:12, John 20:4-6 - John arrived at the tomb first but stopped and waited for Peter. Peter then arrived and entered the tomb first.
Luke 24:34 - the two disciples distinguish Peter even though they both had seen the risen Jesus the previous hour. See Luke 24:33.
John 6:68 - after the disciples leave, Peter is the first to speak and confess his belief in Christ after the Eucharistic discourse.
John 13:6-9 - Peter speaks out to the Lord in front of the apostles concerning the washing of feet.
John 13:36; 21:18 - Jesus predicts Peter’s death. Peter was martyred at Rome in 67 A.D. Several hundred years of papal successors were also martyred.
John 21:2-3,11 - Peter leads the fishing and his net does not break. The boat (the “barque of Peter”) is a metaphor for the Church.
John 21:7 - only Peter got out of the boat and ran to the shore to meet Jesus. Peter is the earthly shepherd leading us to God.
John 21:15 - in front of the apostles, Jesus asks Peter if he loves Jesus “more than these,” which refers to the other apostles. Peter is the head of the apostolic see.
John 21:15-17 - Jesus charges Peter to “feed my lambs,” “tend my sheep,” “feed my sheep.” Sheep means all people, even the apostles.
Acts 1:13 - Peter is first when entering upper room after our Lord’s ascension. The first Eucharist and Pentecost were given in this room. Acts 1:15 - Peter initiates the selection of a successor to Judas right after Jesus ascended into heaven, and no one questions him. Further, if the Church needed a successor to Judas, wouldn’t it need one to Peter? Of course.
Much more here:
scripturecatholic.com/primacy_of_peter.html