Recently this plane flew low on its way south. Royal NZ Air Force Z3546.

Update: it’s a DC3. More info to come.

My research leads to: Lockheed P-3K2 Orion.

surveillance & reconnaissance of NZ’s areas of economic interest … (including search & rescue, humanitarian relief & support of natural disasters).

Royal New Zealand Air Force P-3K2 aircraft (probably) Z3546.