Get geometry of named reference planes

I’m trying to get points that describe a reference plane within a family so I can mirror, rotate, create views etc.

There are nodes to find insertion points but I couldn’t find anything on reference planes.

Is there such a thing or is there some other terminology for geometry in families?

There’s probably no straight-forward way to do this. It might be possible to do by fetching the family document, running an element collector, recreating the geometry and finally transforming it but that would be slow and inefficient for a whole bunch of family instances.
If it’s a simple point based family and you already know how the planes are defined inside it, you could try to just recreate them. For example to get the centre and left/right planes, I’d try something like this: