The generator matrix 1 0 0 1 1 1 1 1 1 1 1 2a+2 1 1 1 1 0 1 1 2a 1 1 2 1 1 0 1 1 1 2a+2 1 1 0 1 1 1 1 1 2 1 1 2a 1 1 1 1 2 2a 1 1 1 1 1 1 1 1 2 1 1 1 1 2a 1 1 1 1 1 1 2 1 1 1 2a+2 1 0 1 1 1 1 2a+2 1 1 2a 1 1 1 0 1 0 0 2 2a+2 1 3a+2 3a+3 1 a 1 2a+3 2a+3 3a+3 a+3 1 a+1 a 1 3a 3a 1 2a 2a 2 a+1 2a+1 3a+3 1 a+2 2a+2 1 a+1 a+2 2 2a+1 2a+3 1 2a+1 3a 1 2a 3a a+1 2 1 1 3 3a+2 3a+3 0 a+2 a+2 3a a+3 0 2 3 a+3 2a+2 1 2a+2 2a+1 a+1 3a+1 1 3a 1 3a+3 2a+3 2a 1 a 0 2a+1 2 3a+1 3 1 2a+1 0 1 3a+2 3a+1 2a+2 0 0 1 1 3a+2 3a+3 3 2a+3 2a+1 3a+3 0 2a+1 a+2 2 a+1 a a 2a+2 a 3a+3 a+3 3a+2 a+1 2a+2 3a+1 1 2a+1 0 a+2 a+2 2 a+2 2a+2 2a+3 1 2 2a+2 1 2a+1 a 3a+1 2 3a 3a a+3 3a+3 2a+1 a+1 2a+1 2a+1 a+1 a 2a+1 3a+1 0 2a 1 a+1 3a 3a 2a+3 3a+1 a 3a 2a 3a a+3 a+3 a+2 0 a+1 3 3a 0 1 2a+2 3 2a+1 3a+1 2a a 2a a+2 3a+3 3 3a+3 0 0 0 2a+2 0 0 2a+2 2a+2 2a+2 2 2a 2 0 2a 2 0 2a 0 2a+2 2a 0 2a 2 2a+2 2 2a+2 2a 2a+2 2a 0 2a+2 2a+2 2 2 2a 2 2 2 2a+2 2a 2a 2a+2 2a 2 2a 2a+2 2a 0 2a 0 2a+2 2 2 2a+2 0 2 2 2a 2 2a+2 2a 2a+2 2a+2 2a+2 0 0 2a 2 2 2a 2a+2 2 2a+2 2a+2 2a 2a 0 0 0 0 2 2 2a 2a 2a 2a+2 generates a code of length 86 over GR(16,4) who´s minimum homogenous weight is 246. Homogenous weight enumerator: w(x)=1x^0+684x^246+720x^247+171x^248+1644x^250+1272x^251+225x^252+1776x^254+1104x^255+177x^256+1788x^258+960x^259+114x^260+1212x^262+864x^263+156x^264+996x^266+576x^267+81x^268+648x^270+408x^271+42x^272+372x^274+168x^275+36x^276+96x^278+72x^279+21x^280 The gray image is a code over GF(4) with n=344, k=7 and d=246. This code was found by Heurico 1.16 in 4.25 seconds.