Shipbucket

just seeing 404

Seems like it is not an public link

Depends on what you mean by "plausible". Could you build it? Yes. Would you want to? I kind of doubt it.

There's ultimately very little reason to put very large caliber gun mounts on a fast ship which must defend itself against air, surface, and subsurface attack. To the extent they can be justified at all, such large guns would exist for bombardment of coastal targets, and they would likely be mounted in small numbers on a relatively slow hull (nothing faster than a PHIBRON, maybe 20 knots).

And in fact, the only time the USN has ever considered a new-construction hull mounting of battleship-caliber guns in the postwar era, that's exactly what they considered: basically an updated WW2 monitor.

Me, for the same tonnage and the same cost, I'd rather have four Burkes which can mutually support each other, survive several major missile hits without losing all combat effectiveness (you can't armor radar, but your buddy's radar will survive your missile hit), and can conduct different kinds of operations (helo, missile fire) simultaneously and/or be in more than one place at a time.

You should consider using an image host like imgur, which can embed images on the forums.

EDIT: Also what's the point of a modern battleship. A guided missile ship could job the much better, and would be cheaper to build and maintain.