Designing a treaty-free 1928 armored cruiser

What would a 1928 armored cruiser look like without treaty limits?

It would likely mount nine 11-inch or twelve 9.2-inch guns and sit well above the lightly protected treaty heavy cruiser.

A plausible design would carry either nine 11-inch guns or twelve 9.2-inch weapons, with 12-inch guns at the upper edge of possibility. Such a ship would decisively overmatch a contemporary heavy cruiser. This comparison exposes the weakness created by treaty limits rather than simply proposing a larger gun. Treaty heavy cruisers were lightly protected hulls carrying disproportionately powerful 8-inch batteries, effectively walnuts armed with sledgehammers.