From Pluralpedia, the collaborative plurality dictionary
spitegenic (adj.)
Applies tosystems, headmates
CoinerClusterHug Chronicles; playing-card-coining (coined independently)[1]

Spitegenic is an origin term for a system or headmate formed out of spite. Maligenic can be used to mean spite towards those outside of the system, with hargenic referring to an origin of spite towards others within the collective.[2]

Coined on the Pluralpedia Discord server when a member realized there wasn't a term for it already.