After that they were released into a small temporary aviary. They will be caught and put into boxes for the four-hour trip to Rotokare on Saturday.
The team should have easily caught 40 birds by then, Bushy Park Trust member Allan Anderson said.
Tieke were good breeders, Dr Parker said. They could have two or three clutches of two to four eggs in a season. But when tieke numbers got high, fewer young bird survived to adulthood. "We're not doing anything at all to the breeding population by taking birds out of here."
Tieke are especially vulnerable to predators like cats and stoats. They died out on New Zealand's mainland before 1900, and by 1960 there were only 500 left, on Hauturu (Little Barrier Island).
There are already 20 tieke from Hauturu at Rotokare, Mr Collins said, and the Bushy Park birds would add genetic diversity. The reserve has been predator-free since 2008 and includes a 17ha lake and has also had popokatea (whiteheads) introduced.
The latest reintroduction to Bushy Park was 44 hihi (stitchbirds), which were set free in March last year.