Is it possible to channel the tsunamis into South Auckland?
See article for main sources of the "Bloody great big" type.
Also note that the events in the article (1868 peru & N. Chile) and 1960 (Central Chile) as in 2010 were all short runout arc events with a tsunami height approximating the forearc runout distance.
The Patagonia arc is a backarc basin (~3.5cm convergence rate).
The Altiplano arc is also a backarc basin. the N. part of which has recompressed & relaxed, and the S. part is still recompressing @ is in the latest stage with all the volcanoes quiet.
The La Rioja range between them is a range with a VERY long recurrence interval time and appears to have relaxed in the early Holocene.
The Peru range (NW. of the volcanoes) is another classical range and appears to be in a later stage of recompression.
Ecuador & Colombia are arcs with a backarc cordillera range with huge runouts, giant tsunami and a long recompression interval time (it fortunately points to Japan).
Central America points to NZ and last gave a 10m+ teletsunami in NZ ~950AD immediately after the original Mayan apocalypse of ~820AD or thereabouts and its quake destroyed surviving occupied buildings in the mountain city strongholds (never rebuilt).
Mexico also points toward NZ. The main mexican volcanic zone arc (a backarc basin) appears to have a BC date for its last main tsunami @ or before Olmec occupation times.
All of those may also affect Auckland in a big way if runouts are above those of a classical arc (10-15m @ source).
One other main teletsunami source for NZ was an event in ~550AD which was tracked down to 535AD when 2 small asteroids landed in the S.part of the gulf of Carpentaria (OZ) and the seismic shock broke the megathrusts in the lesser Sunda, Banda, Sanghie, Halmahera, S.Philippines, Irian Jaya, Papua, New Britain and Bougainville arcs. The resulting teletsunami from the latter 2 arcs reached 10m+ at NZ and all the affected arcs & ranges ran out to the backfault (along with a dark ages dust veil effect).
That last one is difficult to repeat, but at least the asteroids will be seen coming (the local tsunami created by the small craters was rather small).
That should do the job.
Have a nice day: Ag