Many believers assume Paul is talking about Jesus` perfection, His abstinence from sin. But this is not the case because of what Paul himself said in Rom 8:1 and Rom 3:22.
Paul was already righteously guilt free by the gift of the Lord.
And Paul had already received the prize of the gift of EternalLife through Christ Jesus.
So, if righteousness, freedom from guilt and EternalLife was not his goal, what was he pressing toward? -> The mark is the MindOfChrist. -> The prize is the Lord Himself. -> The high calling is to manifest as a SonOfTheHolySpirit
The MindOfChrist is being totally consumed in faith and living life as a SonOfTheHolySpirit.
How do we press toward that mark?
We fellowship with the Lord in His Word and pray in His Spirit.
How do we gain the prize?
We become totally consumed by His faith and totally absorbed by His HolySpirit.