Largest known prime quintuplet

It is suspected that there are infinitely many s, although this has never been proven.

The largest known prime quintuplet is equal to (p, p + 4, p + 6, p + 10, p + 12), where p = 394,254,311,495 · 3,733# / 2 − 8.

The largest known prime quintuplet of the form (p, p + 2, p + 6, p + 8, p + 12) has p = 2,316,765,173,284 · 3,593# + 16,061.