The HH fishes well south of any closures to do with the GOM, which is 42 degrees line. The HH fishes up on the banks, till at least the end of January, or till the fishing slows down, where there is a size limit but no bag limit.....exactly as Kilsong posted.
AS far as the "big" cod go, they actually used to be caught in abundance up on Stellwagen and even much further east and south in February and March, as demonstrated in 2007 by the nice large cod landed in early March on the American Classic. The "big" cod referred to here, are actually up on those mud flats in late spring and late fall, not in the dead of winter; they move inshore to spawn in Fall and again in late spring/early summer....There was also some very nice large cod landed out east of Block Island by the FF and Viking fleets this spring and fall 2007, and they weren't anywhere near any area closures either.