There are plenty of huts in Mt Richmond Forest Park, and that includes the ones along the Te Araroa Trail route. They tend to be spaced at about four or five hours walk apart, which means if you are jumping huts, you can be in for some biggish days.
Many of the huts were built in the 1960s for the NZ Forest Service, primarily for deer cullers, and they are often of a standard six-bunk design called for some reason SF 70. A few are in fairly original condition. Top Wairoa hut retains an open fireplace that has elsewhere often been replaced with steel woodburner due to the wastage of wood or the risk of burning down the hut.
Most have been somewhat renovated, with insulation added and louvre windows replaced, and are comfy enough, at least when not full to capacity. There are fireproof mattresses, a woodburner for winter heating, stainless steel benches, etc.