Superduperfactorial Primes: Primes of the form A055462(k)-1 or A055462(k)+1.

[Jonathan Post]

Analogously, we have double-superfactorial primes, those of the form
A098694(k) + 1 or A098694(k) - 1. These begin:

3, 47, 1393459201

A098694  Double-superfactorials: Prod[k=1..n, (2k)! ].

Of course, these generalize to k-tuple-superfactorials: Prod[j=1..n, (jk)! ].

Are those in OEIS?  Individually, or as a table by antidiagonals?