You might be looking at a different list, old list, or something because your descriptions don't match the codes I have.
My definition of 20051 is the French tune which you should stay very far away from. It will really restrict top end and low gear power.
Based on your descriptions though your "50" matches my "55" and your "51" matches my "54". I'd go with the tune which says "full power no cat".
Review this thread for a run down of throttle restrictions in the various tunes...