Qantas overflights of New Zealand are not uncommon with QF27/28 Sydney-Santiago-Sydney often skimming across our airspace as they make the most of prevailing wind conditions. Some flights are often well south of New Zealand while others end up tracking over parts of the North Island. As was the case yesterday when Boeing 747-400 VH-OEG was spotted making its way over lower North Island at 33000ft crossing just north of Paraparaumu making its way from Sydney to Santiago.
Thanks to Tim for sharing

