The LINZ Data Service (LDS) holds geodetic mark data and a range of other data from across Toitū Te Whenua. You need to register to download data from LDS, but registration is free. All geodetic marks can be downloaded at once or you can use the crop function to trim the download area.
As an indication of size, the shapefile of the NZ Geodetic Marks layer is approximately 10MB. The other geodetic marks layers, listed below, are even smaller.
Go to the LDS to access:
NZ Geodetic Marks | LINZ Data Service
NZ Geodetic Vertical Marks | LINZ Data Service
Antarctic Geodetic Marks | LINZ Data Service
Antarctic Geodetic Vertical Marks | LINZ Data Service
For help getting started with the LDS:
Getting started with LDS | Data Guidance (linz.govt.nz)
LDS 101: Getting started with the LINZ Data Service - YouTube