The generator matrix 1 0 1 1 1 1 1 1 1 0 1 1 1 0 1 1 1 1 1 2 1 1 2a 1 1 1 1 1 1 1 0 1 1 1 1 1 2a 1 0 1 1 1 1 1 1 2a 1 1 0 1 1 1 2a+2 2a+2 1 1 1 0 1 2a 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 2a+2 2 1 1 1 1 1 1 1 2 1 0 1 1 1 1 1 1 1 0 1 1 a 3a+3 0 2a+3 a+1 a 1 0 2a+3 a 1 a+1 2 a+2 a+1 2a+3 1 a+1 a 1 1 3a+2 3a+3 0 a 0 2a+1 1 2a+2 a+3 2 3a+1 3a+2 1 3a+3 1 3a+2 2a+3 1 2 2 a 1 1 2a+3 1 2a 2a+3 a+3 1 1 a+3 2a 3a+3 1 2a+1 1 a+2 1 3a+2 3a+2 1 3a 2a 2a+1 3a+2 1 3a+2 2a+1 0 a a 3 2a+3 1 1 3 2a 1 a+2 3a 2 2a 1 3a 1 2a+3 2a+2 2 3a+3 3 2a+3 0 0 0 2a+2 0 0 0 2 2 2 2 2 2 2a+2 2a+2 2a 2 2a+2 2a 2a+2 0 2a+2 2a+2 2a 2 0 0 2a 2a 2a+2 2a 2a 0 2 2 2a 2a 0 2a 2 0 2a 2a+2 2a 2 2 2a 2a 0 2a+2 0 0 2 2 2a+2 2a+2 2a+2 2a 2a 2a+2 2a 2 0 2 0 2a 2 2a 0 2a 0 0 2a+2 0 2a 2a 2a 2a 2 2a 2 0 2a 0 0 2a 2a 2a+2 2 0 0 2 2a+2 2 0 2a 2a 0 0 0 2 0 2 2a+2 0 2 2a+2 2 0 2a 2a+2 0 2a+2 0 0 2a 2a 2 2 2a+2 0 2a+2 2a 2a 0 2 0 2a+2 2 2a 2a 2 2 2a+2 0 2a 2 2a 2a 2 0 2a+2 2a 2a 0 2a+2 0 2 2a 2a 2 2 2a 2 0 2 2 0 2a 2 0 2 2a 2a 2a 2 2 2a+2 2a+2 2a+2 2 0 2a+2 0 2 2a 0 2 2a 2a+2 0 0 2a 0 2a+2 2a 2a+2 2a 2 0 0 2 2 0 0 0 0 2a+2 2a+2 2 2a+2 2a 0 2a+2 2 2 2a 2 2a 2 2a 2a+2 2a+2 0 2a+2 2a+2 2a 0 2a+2 2a+2 0 2a 2a 0 2a 2 0 0 2a 2a 2a+2 2 2a 0 2a 2a+2 2a 0 2a+2 2a 2a+2 2a+2 2a 2 2a+2 2a 2a+2 2 0 2a 2 0 2 2a+2 0 0 0 2 2a+2 2a 2a 2a+2 2a+2 2a+2 2a 2a+2 2 2a 2 2a+2 2a 2a 0 2 2a+2 2 2 2a+2 0 0 2a+2 2 2a 2 2a 2 2a 2a 2 generates a code of length 96 over GR(16,4) who´s minimum homogenous weight is 272. Homogenous weight enumerator: w(x)=1x^0+246x^272+48x^273+168x^274+750x^276+780x^277+348x^278+1074x^280+792x^281+384x^282+1194x^284+1164x^285+672x^286+909x^288+1152x^289+468x^290+1173x^292+1092x^293+588x^294+888x^296+792x^297+312x^298+549x^300+228x^301+120x^302+234x^304+96x^305+12x^306+30x^308+39x^312+21x^316+15x^320+12x^324+15x^328+12x^332+3x^336+3x^340 The gray image is a code over GF(4) with n=384, k=7 and d=272. This code was found by Heurico 1.16 in 2.34 seconds.