I sorta tweaked it around a bit..so you get a couple long hauls...
TLV-LHR-LAS-LAX-SJD-LAX-MIA-JFK-HKG-DPS-HKG-SYD-OOL-MEL-LHR-TLV
If you don't mind buying side track tickets (I'm thinking most time in F)...
TLV-LHR-LAS-LAX-SJD-LAX-MIA-JFK-HKG-NRT-CGK-NRT-SYD-OOL-MEL-LHR-TLV
CGK-DPS-CGK (domestically)