Depends on what you consider a matriarchal society. The ancient Greek writers would have considered Victorian era Britain a matriarchal society. Same goes for the Vikings.
As for height and duration. It depends on how you measure height and duration. Since I imagine your go-to of a good society is ancient classical Rome. I'd guess that you're talking about the landmass owned. But my way of judging it comes from how far the society developed and where their starting point was.