This is a remix of the battery holders made by mohitmathew with a Gridfinity base remixed from the bit holder of kompetenzbolzen.  Same low profile, larger diameter battery holder (to fit Amazon and Energizer rechargeable batteries) but in a 4x4 layout made to fit a 2x2 Gridfinity base.

I can quickly stamp out additional sizes if requested, so let me know what you need.