Highest Greek value? Arete, we translate TERRIBLY as "excellence."

a) Note the root--ares, war, something that comes out in battle, as it does (Alvin York, Roger Young).

b) A display of arete is called an aristeia, as in Iliad V when Diomedes cuts down half the Trojan army and a couple of gods too
dumb to get out of the way.

c) Just to cover myself--this term got absorbed into other uses, e.g. Plato's, but that was a transference of its original military
significance.