Yes, this was info definitely helps. Your pond bioload is too much, the bacteria can’t break down the waste fast enough, so I see a few options. 1) expand the pond, this is something that you should keep in mind. Koi are a large fish, and recommendations say 1000 gallons per koi, but it can be fudged a bit by really good filtration. The best filter we here have found is a properly sized bog filter. But unless you make a bog bigger than that pond, keeping 4 koi aquarium n that volume will continue to give you issues.
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Option 2) build a big bog. Still a good idea, as mentioned above. The idea is to imitate Mother Nature’s natural filter, water comes in at the bottom and percolate through about a foot or more of gravel, where tons of bacteria break down the waste, then at the top, plants use the results to grow, thus cleaning the water. 1/3 of the surface area of the pond, or more, is ideal, but with a larger fish load, go bigger.
Option 3) rehome the koi to a bigger pond and get smaller fish. Less than 600 gallons of water is more suited to about 6 standard type goldfish, common, comet, shubinkin. These only reach about a foot in length from nose to tail, with longer tailed variations having tail extending beyond that foot mark.