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 2 1 1 0 1 1 1 0 1 1 1 1 1 1 1 1 1 1 1 2a+2 1 1 1 1 1 2a 1 2 1 1 1 2a 1 1 1 1 1 2a+2 1 0 1 1 1 1 2a+2 1 1 1 1 1 1 2a+2 2a+2 1 1 1 0 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 a 2 1 3 2a+2 3a+2 1 a+3 3a 2 a+1 2a+1 2a+3 2a+1 a+2 2 2a+1 a 1 0 a+1 2a a 3a+3 2 3a 1 3 1 a+2 2 3 3a 2a+1 3a 3a+1 1 a+3 1 2a+1 2 a 2a 1 2a+3 3a 3a+2 0 2a a+1 1 1 a a+1 3a+1 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 1 2a+1 a+2 a+3 3a+2 a+1 a+3 2a+1 2a 0 1 a+2 2a+2 a+1 3 a 2a+2 a+3 a a+2 a+2 2a+1 3a+3 2 a+2 1 2a+1 3a a+2 3a+3 a+1 1 2a 2a+2 a+2 2a+1 a+2 a+1 2a+3 2a+2 a 2a+2 3a+2 2a+3 3a+2 2a+1 0 0 3 a 3a 2a a+3 2a+3 a+1 a+2 a 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+2 0 2 0 2a+2 0 2a+2 2a 2 0 2a 0 2a 2 2a 0 2 0 2 2a 2a 0 2a+2 2a 2a+2 2 2a 0 2a+2 0 2 0 2a 2a+2 2 0 2a+2 2 2 2a 2a+2 2 0 2a 2 2a+2 2a+2 2 2a+2 2a+2 2 2a+2 2 2 2a 2a 2a+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 2 2a+2 2 2 0 2a 2a+2 2a 0 2a 2 2a+2 2a 2 0 2a+2 2a 2a 2a+2 0 2a+2 2 2a 0 2a+2 2a+2 0 2 2a 0 0 2a 0 2a+2 0 0 0 2 2 2 2a+2 0 2a 2a 2 0 2a 2a 2a 0 0 2a+2 2a+2 2a 2 2 2a generates a code of length 81 over GR(16,4) who´s minimum homogenous weight is 225. Homogenous weight enumerator: w(x)=1x^0+264x^225+420x^226+324x^227+393x^228+1104x^229+1344x^230+1500x^231+699x^232+2256x^233+2388x^234+1800x^235+858x^236+3036x^237+3552x^238+2436x^239+1230x^240+3816x^241+3960x^242+2796x^243+1476x^244+4128x^245+3996x^246+3012x^247+1164x^248+3564x^249+3108x^250+2016x^251+861x^252+2124x^253+1896x^254+1164x^255+312x^256+1032x^257+684x^258+264x^259+63x^260+168x^261+156x^262+48x^263+18x^264+12x^265+21x^268+24x^272+18x^276+21x^280+6x^284+3x^288 The gray image is a code over GF(4) with n=324, k=8 and d=225. This code was found by Heurico 1.16 in 78.7 seconds.