The generator matrix 1 0 0 1 1 1 1 1 1 1 1 1 1 1 2a+2 2a+2 1 1 1 1 0 1 2a+2 1 1 2a+2 1 1 2 1 2 1 1 1 1 1 1 1 1 1 1 1 1 0 1 1 0 1 1 1 1 1 2a 2a+2 1 1 1 2 1 1 2 1 2a+2 1 1 0 2 1 1 2a+2 1 1 1 1 1 1 1 1 1 1 1 1 0 1 0 0 0 2a+2 1 3a+2 3a+3 2a+3 2a+3 a a+1 3a+3 1 1 3a+2 1 a+1 a 1 3a+1 0 a 1 1 2a 3 1 3a+3 1 2a 2a+2 3a+3 a+3 1 3a 3 3a 3a+2 2 a+1 1 1 2a+3 3a+1 2a 2a 2a+3 3a 2a a+1 1 2 0 a+2 a+3 1 2 3a 1 2a+1 2a+2 a+2 2a 1 1 a+2 2a+3 1 3a 2a+2 2a+2 3a+3 0 1 1 0 3 2a+1 3a+3 2 0 0 1 1 a 3a+3 1 3 1 a 0 2 3a 3a+3 3 3a+3 3a+1 3a+3 0 3a a+2 3 1 3a+3 3 3a a+2 a 0 a 3a+1 3a+1 2 a+1 2a a+3 2a+3 0 3a+2 2 1 1 2 2a+3 2a+1 a+2 1 2 3a 2a+1 3a a+3 2a+1 1 2a+3 0 1 3a 3 2a+3 a+1 3a+3 1 a+3 2a+1 2a+1 3a+1 2a+2 2a 3a 2a+1 2a+3 2 a+1 a a+1 3 3a+1 a+3 3a+1 3 2a+3 0 0 0 2a+2 0 0 0 2 2 2 2a+2 2a 2a 2a 2a 2a+2 2a+2 2 2a+2 2 2a 0 2 2a 0 0 2a 2a+2 2a 0 2 2a 2 2 0 2 2a+2 2 2a 2a+2 2a+2 2a 2a 2a 0 2 2a 2a+2 2 2 2a 0 2 0 2a 2a 2a 2 2 0 2 0 0 2a 2a+2 2 0 2 0 0 2a+2 2a 0 2 2a 0 2a+2 2a+2 2 2a+2 2a 2a+2 0 0 0 0 2 2a+2 2a 2 2a+2 2a 2a 2 0 2a 2 2a 2 2a+2 2 2a 0 2 2a+2 0 2a+2 2a+2 2a+2 0 0 2a 2a 2 2a 0 2 2a 2 2a+2 2a+2 2a 2a 2 2a+2 2a 0 0 2 0 2a+2 0 2a 2a 0 2a+2 2a+2 0 2a+2 0 0 2a+2 2 2 2 2 2 2a 0 2a 2a 2a 0 2 2 2a+2 2 2a 2a 2a+2 2a 0 0 2a+2 generates a code of length 82 over GR(16,4) who´s minimum homogenous weight is 228. Homogenous weight enumerator: w(x)=1x^0+303x^228+372x^229+24x^230+600x^231+1443x^232+1572x^233+264x^234+1512x^235+2421x^236+2652x^237+420x^238+2064x^239+3939x^240+3156x^241+468x^242+2748x^243+4434x^244+3696x^245+540x^246+2940x^247+5079x^248+3984x^249+720x^250+2376x^251+3996x^252+3372x^253+444x^254+2040x^255+2547x^256+1668x^257+180x^258+828x^259+1035x^260+852x^261+12x^262+228x^263+300x^264+180x^265+24x^267+30x^268+18x^272+15x^276+21x^280+9x^288+3x^292+3x^296+3x^300 The gray image is a code over GF(4) with n=328, k=8 and d=228. This code was found by Heurico 1.16 in 25.1 seconds.