What new zealand native trees have large berries?

The miro is a large forest tree that has a fruit that passes for a berry. This tree is strictly a conifer, but the (3) scales of the cone are reduced to a large soft-fleshed berry-like fruit about 20mm long and 10-15mm diameter, enclosing a single seed. Colour a red to purple. The fruit is much loved by the native pigeon Kereru, and dispersed by this bird.

The botanic name is Prumnopitys ferrugine.