Strelok, 50nmi sabot shells for the 16in guns were invented in 1945
. By 1965, that had extended to ~85nmi, and by the early '80s ~100nmi (that one was actually test fired from the USS Wisconsin and achieved those results in the real world - all 9 shots landed within 9 yards of the target at that range, too).
The Navy considered it pointless back in the 40s/50s because they basically didn't believe a surface ship was capable of natively targeting at those ranges and were very hesitant to rely on then fledgling rotary-wing Air Observers.
By the 60's New Jersey reactivation, they were putting a lot of serious work into it before politics pulled the New Jersey back into mothballs. Again in the 80s, a lot
of work went into them, resulting in the ~100nmi sabot shell, and then some absolute genius at Pratt and Whitney realized that 11in sub-caliber shell was the perfect size and shape to have a scramjet put in it and the range spiked to 480nmi - with the same precision guidance as the non-powered version and while keeping an appreciable (if small) warhead.
See the second and third images in >>271
for more on scaling that system up. I'd guess the old thread would still be up on julay if you want to go read that before it dies, too.
With 24in cannon (designs for which exist), you don't even need a sabot.