Can you, or should you install a common electrode system connecting several separate buildings? The buildings are all supplied from a single utility service.
The utility service supplies one building and feeders from that building supply the others. The plan shows a ground ring electrode system that encircles all buildings with connections to each.
As far as I know there is no prohibition to connect to a common electrode in the situation you describe but I'm also not sure that a "ground ring" that encircles multiple buildings is the same as the ground ring contemplated in 250.52(A)(4).
If you have copper communications running between buildings then you will want to bond the GES's of each building together. This will prevent ground potential difference smoking electronics connected to each GES due to lightning strikes in the area.