Hey @imath,
I think it makes to make it dynamic, so that the list of groups displayed are the one the logged-in user belongs to.
I guess that could be added as an option of the dynamic group block, as a toogle like this.
I think that adding an option to display (or not) the group description would also be a nice add on for this block.
Thanks for all your work for the Buddypress community! Looking forward to use the next major release!