Packing of regular heptagons in the P2 group using the hypertorus IGO

Best density found by the hIGO is 0.892690301112988.  The densest packing of heptagons in P2 (proved by Greg Kuperberg and Włodzimierz Kuperberg) is ~0.892690686126508.

Left: Found configuration; Right: Zoom of the configuration