You must be new to pup, lol. Pup nukes have always had the highest per-hit numbers when compared to blms and schs, which makes up for the fact that we can't nuke nearly as fast, or with as much variety/control. With Blizz/Thunder V it's fairly easy for me to break 5k in abyssea with minikin/ultimate (don't have beyond, or other nuking atmas, much to my annoyance). Also, in abyssea, always use relic feet over scarpe+2. 13 int can't beat 5 mab added to the insane amounts of mab we already get. Also, Cirque Pantaloni +2 (+10 skill) typically beat relic legs +1, but you're list of nuking gear is rather small...
proper nuking gear:
Ice path Taipan Fangs +2/3; Pet: MAB+10, and you can do them from no trials to +2 in less than a day
Mirke Wardecors: Pet: MAB+7 Macc+7 (I can understand not having this if you're a cor main given how amazing this body is for quickdraw with different augments, but otherwise not having it for nuking is either lazy, or like me, means you have absolutely terrible luck with getting a group for the ACP final fight)
Pantin Babouches: Pet: MAB+5
Cirque Earring: Pet: MAB+2
And if you feel like tapping your inner masochist, there's a whole slew of pet: MAB gear that you can get from the ACP/AMK/ASA random augment system
also, Loudspeaker, Loudspeaker II, Ice Maker, Mana Channeler, Optic Fiber, no exceptions (I know OF is expensive and MC is to a lesser degree, but they're worth it).
I can't attest to our current max damage since I've been away from the game for a while and am missing a good deal of crap as far as atmas are concerned, but based on what I know of the atmas and our available gear, I can't see it being difficult to break 6k with bliz5, and thunder5 shouldn't be far behind (it'll be ahead if you're not using beyond)