Qatar Airways has a great Sale to Auckland (New Zealand) at the moment. They are going to service the route Doha (Qatar) to Auckland from 03 Dec. 2016 and to promote this new route they sell flights departing from Germany around 1700€.
However, the cheapest deal is an open jaw flight departing from Pisa (Italy) and returning to Berlin (Germany). PSA-AKL-TXL 1270€
There are many more dates available in 2017 for a little more around 1340 € – 1370 €.
To get to Pisa there are a number of possibilities using for example Ryanair or Easyjet. TXL-PSA 36€
Since this is the same day, you won’t need an additional accommodation in Italy. But you may prepend your trip with an italian pizza as there are cheap flights on friday as well.
This trip will even be under 1300€ including all flights from Berlin via Pisa to Auckland return.