Interesting, both these parties include Eadfrith (who I thought everyone hated and/or hated everyone).
Eadfrith indeed has a lot of baggage, being disliked by 4 members and himself dislikes 2, totalling 5 different persons (i.e. one dislike is mutual).
If one accepts members having at most one dislike that is compensated by a like (my definition of stable) then one can use the popular persons with small social baggage to offset this.
In Eadfrith's case the key is Inka (who has a mutual like with Eadfrith) for Inka opens up many possibilities for a very small baggage: Inka is disliked by no-one and dislikes 2, is liked by 4 members and likes 1 (totalling 4 different persons).
Of course, if one requires a stricly stable party (i.e. not even compensated dislikes allowed) then Eadfrith is not to be found in any of the 20 different variations of 12 member strictly stable parties in 1.332 ( I didn't post them here since it's a pain to post tables in the forum, and besides, all this info will be obsolete once 1.34 is released with the new npcs...) whereas Inka is featured in 16 out of the 20 maximal 12 member strictly stable parties.