ISO 965-1 ISO general purpose metric screw threads — Tolerances — Part 1: Principles and basic data lists the recommended tolerance classes for internal and external threads. It has a note stating that these are intended for thin coatings like electroplating (which are thinner than your range).
ISO 4014 Hexagon head bolts — Product grades A and B is a general product standard. It lists a tolerance of 6g. It allows for coating according to ISO 10683 Fasteners — Non-electrolytically applied zinc flake coatings, which can be a thick coating. This standard lists many thicknesses and tolerance classes that should help you.
General Motors has worldwide specifications like GMW 3302 Hexagon Bolts with Flange and Pilot Point – Heavy Series. It has a coating similar to ISO 10683 that can be up to 25 [µ]m thick. GMW 3302 lists tolerance 6e before coating and post-coating gauging according to ISO 1502 IS0 general-purpose metric screw threads - Gauges and gauging with a GO-gauge of tolerance h.
Nuts are similar to screws. ISO 4032 Hexagon nuts, style 1 — Product grades A and B lists a tolerance of 6H, and allows for coating according to ISO 10683.
Regards,
Cory
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