Hmm... interesting thought experiment prompted by a couple of post on the TP Runs master thread
Working assumptions
1. Open jaws allowed (so can fill gaps with non-OW flights)
2. You can start anywhere in the world, but you have to end there too (otherwise it's too easy)
3. All flights to be completed within a 12-month window
My first bid would be 1670 TPs as follows:
CPH-HEL-LHR-JFK-BOS-PHX-LAX-HNL and back in I and P (40+80+140+60+210+60+210 ) x 2 = 1670
(or 1740 if you go F LHR-JFK).
I'm sure someone can improve on that...