It is operated by Lan Chile with an A340 as LAN 600/601.
Qantas codeshares on the flight. It is QF 321 on the SYD-SCL routing.
It stops in Aukland both directions.
Carfield just posted a trip report for the SYD-AKL portion in first class.
I am flying the SYD-AKL segment in first class on August 28.