I had some routes saved from Great Circle Mapper in my favorites which may give you more miles.
Yours: MEL-PER-ASP-DRW-SYD-HKG = 10257 miles.
MEL-PER-DRW-SYD-AKL-HKG = 12316 miles.
MEL-DRW-PER-BNE-AKL-HKG = 12948 miles.
Unless the rules have changed in the past 6 months or so, these should be allowed no problems. One thing to check though is the scheduling, and the last option leaves out SYD and I'm not sure where you wanted to stop.
cheers
goodo
[This message has been edited by goodo (edited 11-11-2003).]