The generator matrix 1 0 0 1 1 1 1 1 1 1 1 1 1 1 2a+2 1 2a+2 1 1 1 0 1 2 1 1 0 2a+2 1 1 1 1 1 1 1 2 1 1 2a+2 1 1 2a 1 1 1 1 1 0 1 1 0 1 1 0 1 1 1 2 1 1 1 1 1 1 1 0 1 1 1 1 1 1 1 1 1 1 1 2 1 2a 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+2 1 3a+3 1 1 a+1 a 1 3a+3 1 3a+1 2a+3 2 1 2a+1 0 3a+2 3a 2a+2 2 2a 1 3a 2a+3 1 3a+2 3 1 2a+2 a+3 3 2 1 2a 2a+2 a+1 1 a+2 3a+1 1 2a+2 3a+1 3a+1 1 2 0 2a+3 3 3a+2 a 2 1 3a+3 a+2 2a+2 3a+2 3a 2 3a+2 a+2 a 2a+2 a+3 1 2 2a+2 3a a+1 3a+3 0 a+1 0 0 1 1 a 3a+3 1 3 1 a 0 2 3a 3a+3 3a+3 a+3 3 3a+3 0 a+2 a a+3 2 2a+1 2a+3 1 3a+1 a 3a+3 3a+3 2a+1 3a+1 2 a+2 3 3a a+3 0 2a+2 2 a 2a+1 2a+2 a+2 a 2a+1 1 3a+2 a+3 3a 0 2a+3 3a+1 2 a+3 a+2 a+2 2a+1 2a 2a+2 2a+3 3a a+1 1 a+3 3a+1 3a+2 3a+3 2a+2 a+3 2 a+3 a a 3a 3a+2 3a+3 a 1 a+2 2 2a+3 3 2a 0 0 0 2a+2 0 0 0 2 2 2 2a+2 2a 2a 2a+2 2a+2 2a 2a 2 2a+2 2a 2 2a 0 2a+2 2a 2a+2 0 0 2 2a+2 0 0 2 2 2a+2 2a+2 2 2a 2 2a 2a 0 2a 0 2a+2 2a 2a 2a 0 0 2 0 2a 2a+2 0 2a+2 2a+2 2a 2 2a 2a 0 0 2a 2 2 2 2a+2 2a 2a 0 2 2a 2 2a+2 2a+2 2a 2 2 2 2a+2 2a+2 0 2 0 0 0 0 2 2a+2 2a 2 2a+2 2a 2a 2 0 2 2a 2a 2 2a+2 2 2a 0 2a+2 2a+2 2a+2 0 2 2 0 2 2a+2 2a+2 2a 2a+2 2 0 2a 0 0 2a+2 2a+2 2a+2 0 0 2 2a 2a 0 2 0 2a+2 2a 2a+2 2a 2a+2 2a 0 2 0 0 2 2 2a+2 0 2a 2a 0 2a+2 2 2a 2 2 2 2a+2 2 2 2a+2 2a+2 2a 2a 0 0 2 2 2a generates a code of length 84 over GR(16,4) who´s minimum homogenous weight is 234. Homogenous weight enumerator: w(x)=1x^0+252x^234+192x^235+663x^236+300x^237+1392x^238+1272x^239+1473x^240+576x^241+2388x^242+2292x^243+1962x^244+708x^245+3672x^246+3072x^247+2631x^248+1080x^249+4440x^250+3120x^251+2898x^252+1236x^253+4704x^254+3408x^255+2715x^256+1104x^257+3708x^258+2736x^259+2202x^260+732x^261+2568x^262+1536x^263+1215x^264+312x^265+1188x^266+672x^267+474x^268+96x^269+240x^270+120x^271+48x^272+24x^274+12x^275+36x^276+27x^280+6x^284+12x^288+12x^292+3x^296+3x^300+3x^304 The gray image is a code over GF(4) with n=336, k=8 and d=234. This code was found by Heurico 1.16 in 25.8 seconds.