But for that very reason I was shown mercy so that in me, the worst of sinners, Christ Jesus might display his immense patience as an example for those who would believe in Him and receive eternal life.
(1 Timothy 1:16)

Feeling like the worst of sinners myself, this scripture is so comforting.  No one is free from sin.  Not the disciples or any other human being....only Jesus can claim that honor.  But even the worst sinners are given mercy from the Lord.  So don't give up.....don't think you aren't good enough to receive eternal life.  Everyone has been sent the invitation to follow Christ to an everlasting life.  Just accept it!