If it is really all about q-points and EXP, then ist-lhr-lax-ord-anc-dfw-yvr-jfk-hkg-cmb-hkg-nrt-per-drw-mel-akl-syd-lhr-mct-lhr-ist makes around 64,650 mi - but not all of your stops, and some you didn't put in.
This is a northern hemisphere summer itinerary - the ANC services typically start around the 1st of June (not the same days for ORD and DFW) and last until Sept. 1 or so (again, they don't end simultaneously.)
In the northern winter, ist-lhr-lax-sjo-bos-dfw-yvr-jfk-hkg-cmb-hkg-nrt-per-drw-mel-akl-syd-lhr-mct-lhr-ist uses the LAX-SJO leg and gets you around 63,670 mi.