The table in Dulin & Garzke does indeed say twelve 16" guns in four triples, but it also notes that this is the authors' estimate. Since the purpose of the design, (to the extremely limited extent that there was a design) was to explore torpedo protection, main armament (except for turret position) might not have been a consideration. FWIW, D&G did not mention speed.
On the one hand, four twin 18" turrets would certainly fit, and the weight would not have been a problem, but the USN was very pleased with the 16"/L50 Mk 7 at the time, and even the large Montana ancestors such as BB65-8 still had 16" guns.
From my reading of D&G, this 106,000 ton ship from July 1944 barely qualifies as a design study, and certainly was not considered for production.
DRW