Depends entirely on your goals. If you're having fun taking your time in HW, it sounds like you might wanna upgrade the weapon by now. If you have plenty of Poetics to spare, you can buy the i120 Ironworks gear (which can be upgraded to i130). While the relic can probably be upgraded to equivalent (or maybe slightly better), it can be a bit of a grind, and by the time you get there, might not be worthwhile anymore. Progressing through the Bahamut raid can get you a weapon upgrade eventually, but, again, you'll be kinda backtracking for it rather than moving forward, and it might be obsolete by the time you get it. So, depends on whether or not you want to continue spending time on ARR content, really.

But, surely by your level you could also be hitting the first couple dungeons in HW looking for an upgrade.

Disclaimer, I'm stalling at the end of ARR, so can't offer much advice on what you could be doing in HW at your level or anything.