I'm running a mutant on zero command hardcore that's level 17 right now. I don't have the ship stats with me but I do know I have roughly 470 shields and about 260 defense, which is only a little less tankier than you (I have no armor).
Since you are running soo heavily on shields (which you do when you are mutant), I would take all your points from structure and apply them elsewhere. Try to have a balance between total shields, shield regen, defence and resists (when you can get resists).
You have 5 shield regen boosters but you are only getting 9 shields per second out of a total of 353 shields, I would say that's pretty low for how many slots you are using.
Try something like:
1 big expensive shield
1x the most expensive shield regen you have (since it halves power load being in racial slot)
1x Ram Drive (
2x Power plants
weapon or additional power plant if needed
2x high regen rate shields
1 computer (if using aimed weapons, since it gives defense) or an ecm if not using aimed weapons.
last slot, weapon
2x shield regens
1x shield manager (if you can find a good one, otherwise another shield regen)
1x all resist (or another shield manager / regen)
last slot, whatever.
This should give you high shield value, a good defense value, a good shield regen value, and a little resist to soak up some of the damage. If you do not have enough offense/power, you may need to remove one of the shields.
Tuidjy might have a better response to this.