The Maxima-A Class Heavy Cruiser appeared in Before the Awakening and a few issues of the Poe Dameron comic. There isn’t any technical information about it, but there are a a few images to work with. In the comic books, a Maxima and 19 TIEs engaged the Carrion Spike and some uglies. In another issue it launched at least 20 TIEs against Black Squadron.
http://starwars.wikia.com/wiki/File:First_Order_Ranc_Gang_Black_Squadron_desert_wold.jpg (My efforts to imbed images have been thwarted. internet level: noob.)
For scale, I believe the Carrion Spike is 150 meters. The Maxima is much larger, but does it look large enough to be a medium base? I think it’s Gladiator size.
I’d like to see Maxima in the Gladiator price range with more focus on long range front arc shooting and carrier role. Think lighter, faster VSD.
@FoaS You said you would rather have this than the FOLC. Care to pitch in?