I think you mean that four turns would give 60 mA out with a 15 A load.The CT-57PR1832 appears to have a maximum current rating of 60 A. You should not exceed that, so if your maximum load is 14 A, you could wind the transformer with up to 4 turns.
The maximum voltage on the CT-57PR1832 is 3.498 V, so that should work.
NO! Not for this application, anyway.
It is 1000:1 regardless of maximum rating. More primary turns will reduce the ratio, giving more secondary current for a given primary current.
Four turns would mean 60mA out for 15mA load, far too much for the opto isolator.
Stick with one pass of the primary wire through the transformer.
The 4N32M has a maximum forward current of 80 mA, so 60 mA should be OK and not destroy the 4N32M.
The current will also be reduced by the resistors in parallel, and there may be a zener to bypass the current.