Got hung up on part 2 of this until I finally went back and said, hey maybe I should just use ALL 3 computer combos from part 1 instead of just the ones that start with "t" and then, bingo, answer.
Each node is connected to 13 nodes. Network drawing about this shows clusters. And we can only get one group for maximum connectivity. I did a quick check of the interconnectivity of each cluster for part2.