Ms Travers said it was the smallest brown kiwi egg the centre knew of. The previous smallest weighed 292g at the same stage of incubation.
"This arrival is one of the most eagerly awaited in some time," she said.
It was a mystery why the mother had laid such a small egg, Ms Travers said.
"Possible factors are that it is diet-related or it could point to issues with her ovaries or reproductive tract. Whatever caused Mini to be laid, he or she can be assured of the very best care come hatching time."
Cameras have been installed at the centre and intensive care specialists are ready to help with the hatching.