I would think that you might have an overstock problem. With a mature and properly stocked tank, nitrates should be a lot more manageable. Also, over feeding can cause an excess of nitrates without you being necessarily overstocked. Try cutting back feeding while you're dealing with the immediate problem, then play around with feeding less than you do now and see how that impacts your nitrogen levels.
I have reduced feeding for 4 months now. Feed every other day a lot less frozen, and nori only 3 times a week.
Maybe overstocked I guess since I don't have many coral to uptake nitrate. I just know similar systems with WAY more fish and less filtration. I'll list my fish here. It's mainly small fish and 6 tangs roughly 3-5 inches each one.
7 Lyretail anthias
6 tangs: Gem, Purple, Desjardini, Maculiceps, Powder Blue, Orange Shoulder
2 yellow coris
three spot wrasse
adorned wrasse
cleaner wrasse
mccosker flasher wrasse
diamond goby
royal gramma
2 clownfish
midas blenny
longnose hawkfish