Ah, jacquesm bait, ok here is my solution (left), right one is an alternative to yours.
just the tops:
just the tops:
https://imgur.com/gallery/W13nR
Fwiw: 10.3cm
Measured 10.7cm: https://i.imgur.com/I637r2v.jpg
What have you done to me!? Can't stop.
This would make a great quiz night team challenge or corporate team-building activity.
Come to think of it this is an interesting game in the making, much better than most (or even all) games that lego makes:
Given x pieces from some set you get to take turns trying to make the highest combination, or, alternatively, all kids at a party are handed the same lego pieces and the winner gets some prize.