If Scripture really does imply or state that Peter was the primary/preeminent/most important/lead apostle, then how do you explain the following?
Thirteen or fourteen books of the New Testament are attributed to Paul and only two are attributed to Peter.
Saul/Paul is mentioned 181 times in Scripture and Peter is mentioned 158 times.
Despite Peter having received a vision about what God regarded as clean/unclean and claiming that God had chosen him to deliver God's message to the Gentiles, the New Testament reflects the fact that PAUL (not Peter) was the apostle most responsible for carrying that message to the Gentiles.
Paul criticized Peter's different behavior among Jewish and Gentile converts and openly opposed him on the issue within the church.
A council of apostles and elders was assembled at Jerusalem to settle the matter of just how much of the Law of Moses that the Gentile converts would be required to observe. And, although Peter spoke to the assembly, it is certainly implied in the account of this event that James concluded the matter.
Christ said that anyone who wanted to be preeminent within God's Church or Kingdom had to be the servant of all the others. He also said that he didn't want his followers lording it over each other.
Christ asked Peter three times if he loved him more than the other apostles did and instructed him to take care of his flock after he answered that question three times in the affirmative.