wire tuck

So I found some milspec style plugs on a hot rod website largest they have it 37 pin. It uses 14-16 gauge wire I was wondering Is this wire to large or will this work to build a newharness from. Any help on this is a appreciated. If anyone wants to check the plug out the web site is...

Well here she is in the Before stage..... Now with a Tuck....... One more shot Ill get more pics soon.....for now enjoy NOW!!!!