The generator matrix 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 2 1 1 0 1 1 2 1 1 1 1 1 1 1 1 1 1 1 0 2 1 1 0 1 1 1 1 1 2 1 1 0 1 1 4 4 2 4 0 4 1 1 2 1 1 1 1 2 0 1 0 4 1 1 4 0 1 1 4 1 1 1 1 1 2 1 1 1 1 1 1 1 1 1 1 1 0 2 0 6 0 6 0 6 0 6 0 6 0 6 4 6 6 0 0 6 6 0 6 2 0 6 6 6 0 6 4 2 0 4 2 0 2 6 2 6 0 0 2 4 0 4 0 4 6 0 6 2 6 0 4 4 6 0 2 0 2 2 6 4 0 2 2 2 2 2 2 0 2 4 0 0 6 6 0 0 2 2 4 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4 0 0 0 0 0 0 0 0 0 0 0 4 4 4 0 0 0 0 4 0 0 0 4 4 4 4 4 4 4 0 4 4 0 0 0 0 4 0 0 0 0 4 0 4 0 0 4 4 4 4 0 4 0 4 0 4 0 0 4 0 4 4 4 4 0 0 4 4 0 4 4 4 4 4 4 0 0 4 4 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4 0 0 0 0 0 0 0 0 0 0 0 0 0 4 4 4 4 4 4 4 4 0 4 0 0 0 4 4 4 4 4 4 4 4 0 0 4 0 4 4 0 0 0 0 4 0 0 0 0 4 4 4 4 4 0 4 0 4 0 4 0 4 4 0 0 4 4 4 4 0 0 0 4 4 4 4 0 4 0 0 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4 0 0 0 0 0 0 0 0 4 4 4 0 4 4 4 0 4 4 0 4 4 0 0 4 4 4 4 0 0 4 4 0 4 4 0 0 4 0 0 0 4 0 0 0 4 0 0 4 4 0 4 0 0 0 0 4 0 0 0 0 0 0 4 4 4 4 0 4 0 0 4 4 0 0 0 4 4 0 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4 0 0 0 0 0 0 0 4 0 4 4 0 4 0 4 4 4 0 0 4 4 0 0 4 0 0 4 0 0 4 0 4 4 0 4 0 4 0 4 0 4 0 0 0 0 0 4 4 4 4 0 0 4 0 0 4 4 0 0 4 4 4 4 0 4 4 4 0 4 0 0 0 0 4 0 0 4 4 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4 0 0 0 0 0 0 4 4 0 4 0 4 4 0 0 0 4 0 4 4 4 0 0 4 0 4 4 4 4 4 4 4 0 0 4 4 4 0 4 4 0 0 4 4 0 0 0 4 4 0 4 4 4 0 4 4 0 0 0 4 0 0 4 0 4 4 4 4 0 0 0 0 0 4 4 0 4 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4 0 0 0 0 4 4 4 4 4 0 0 4 4 0 4 0 4 0 0 4 0 4 4 0 4 0 0 0 0 0 4 0 0 4 4 4 4 0 0 0 0 4 0 4 4 0 0 4 4 4 0 0 4 4 0 0 0 0 0 0 4 0 0 0 4 4 4 0 4 4 0 4 0 4 0 0 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4 0 0 0 4 0 0 4 4 0 0 4 4 4 0 4 0 0 4 4 0 0 0 0 0 4 0 0 4 4 4 4 4 0 4 0 0 0 4 0 4 4 0 0 0 4 0 0 4 0 4 0 4 0 0 4 4 0 4 4 4 0 4 0 4 0 0 4 0 4 4 4 4 0 4 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4 0 0 4 0 4 4 0 0 4 0 0 0 4 4 0 0 4 4 4 0 0 4 4 4 0 0 4 4 0 4 4 4 4 4 4 4 4 4 4 0 4 0 4 0 4 4 0 0 4 0 4 0 0 0 0 4 0 0 4 0 4 0 0 4 0 0 4 0 4 0 4 4 0 0 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4 0 4 4 0 0 4 4 0 0 4 0 4 4 0 0 4 0 4 0 0 4 4 0 4 4 4 4 4 4 0 4 0 0 0 0 0 4 0 0 4 4 4 0 4 0 0 0 4 0 0 4 4 4 0 4 4 0 0 4 0 0 0 4 4 4 4 4 4 0 4 0 0 4 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4 4 4 4 0 0 4 0 0 0 0 0 0 4 4 0 4 4 4 0 0 0 4 4 0 4 4 0 0 0 0 4 4 4 4 4 0 4 4 4 0 0 4 0 4 4 0 0 0 4 0 0 4 4 4 0 0 4 0 4 4 4 4 4 4 0 0 4 0 0 4 4 0 4 0 0 0 0 0 0 0 0 0 0 0 generates a code of length 96 over Z8 who´s minimum homogenous weight is 68. Homogenous weight enumerator: w(x)=1x^0+113x^68+20x^70+237x^72+86x^74+390x^76+170x^78+8x^79+548x^80+50x^81+220x^82+72x^83+586x^84+222x^85+268x^86+546x^87+479x^88+1226x^89+234x^90+2324x^91+363x^92+3448x^93+260x^94+4340x^95+246x^96+4412x^97+320x^98+3530x^99+224x^100+2286x^101+415x^102+1242x^103+238x^104+538x^105+553x^106+184x^107+293x^108+92x^109+556x^110+40x^111+221x^112+14x^113+480x^114+2x^115+101x^116+292x^118+46x^120+139x^122+10x^124+62x^126+15x^130+5x^134+1x^146 The gray image is a code over GF(2) with n=384, k=15 and d=136. This code was found by Heurico 1.16 in 99.4 seconds.