BHX-DOH-AKL-HKG-BHX for around £3.3k on QR/CX.
Sample dates BHX-AKL 26/10, AKL-HKG 4-11, HKG-BHX 7-11.
On some days more TPs to be had routing HKG-CGK-DOH
Found on Kayak and clicked through to payment on a variety of OTA. I didn't try to replicate on QR.com
Can start and end in LON for an extra £300ish.

OK, its nearly three times what some have paid to get to AKL in the past and its nowhere near TP run territory, NZ rarely is, but given current One World fares I didn't think it was too bad.

Spike