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 0 1 1 1 1 1 1 1 1 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 4 2 1 0 4 4 2 0 1 2 2 2 1 1 2 1 4 0 2 2 4 1 1 0 2 2 2 2 1 1 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 0 6 0 6 6 0 2 0 6 6 4 6 2 4 6 0 2 2 2 2 0 0 0 0 6 6 0 6 4 0 2 6 6 4 4 6 6 6 2 6 0 4 6 0 2 4 0 6 2 4 4 6 6 0 6 4 4 0 4 6 6 0 2 2 2 0 6 6 0 6 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 0 0 4 4 0 4 4 4 4 0 0 0 0 4 0 4 4 0 4 4 0 4 4 4 4 0 4 0 0 0 4 4 0 0 4 4 4 4 4 4 4 4 4 0 0 0 0 0 4 4 4 4 0 4 0 4 0 0 0 0 4 4 0 4 0 4 4 0 0 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 0 0 0 0 4 4 4 4 0 4 4 4 0 4 4 4 0 4 0 0 0 0 4 4 0 0 0 4 0 4 4 0 0 4 0 4 4 0 4 0 4 0 4 4 0 4 0 4 4 4 0 0 4 0 0 4 4 0 0 0 0 4 0 4 4 4 0 0 0 0 0 0 4 0 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 0 4 4 4 4 0 0 0 4 4 4 4 4 0 4 4 0 0 0 4 0 4 0 4 4 0 4 4 0 0 4 4 4 0 4 4 4 0 0 4 0 0 0 0 4 0 4 4 0 0 0 0 0 0 4 0 4 0 4 0 0 0 4 4 0 4 4 0 4 4 4 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 0 0 0 4 0 0 4 0 4 4 4 4 4 4 0 4 0 4 4 0 4 0 4 4 4 4 4 0 0 0 0 4 4 0 0 0 0 4 0 4 4 0 0 4 0 4 4 0 4 4 4 0 4 0 4 4 4 4 0 4 0 4 4 4 4 0 4 4 0 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 4 0 0 0 0 0 0 4 4 4 0 4 0 0 0 4 0 0 4 4 4 0 0 4 0 4 0 4 4 0 4 4 4 0 0 4 4 4 4 4 0 0 0 0 0 0 0 4 0 0 0 4 4 4 4 4 4 0 4 0 0 0 4 4 0 4 0 4 0 0 0 4 0 0 0 0 0 0 0 0 0 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 0 4 4 4 4 0 4 0 4 4 4 0 0 4 0 4 0 4 0 0 0 0 0 4 4 4 0 4 4 4 4 0 4 4 4 4 0 4 0 4 4 4 4 4 4 4 4 4 0 0 0 0 0 4 4 0 0 4 0 4 0 0 4 0 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 4 0 0 0 4 0 0 0 4 4 0 4 0 4 4 0 4 0 4 0 0 4 4 4 0 0 0 4 4 4 0 0 4 4 4 4 0 4 4 4 4 4 0 0 4 0 0 4 4 0 4 4 0 4 0 0 4 0 4 0 4 4 0 0 0 0 4 4 4 0 0 0 0 0 0 0 4 0 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 4 4 0 4 0 0 0 0 4 0 0 4 4 0 0 4 0 4 4 0 0 4 0 4 0 0 0 4 0 4 4 4 4 4 4 0 0 4 4 0 4 4 0 4 0 4 4 4 0 0 4 0 4 0 0 0 0 4 0 0 4 4 4 0 4 4 4 0 4 0 0 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 4 0 0 0 4 0 4 4 4 4 4 4 0 4 0 4 4 4 4 0 4 0 4 4 0 4 4 0 4 4 0 0 4 0 0 0 4 4 4 4 4 4 4 4 0 0 4 0 4 0 4 4 4 0 0 4 4 0 0 0 0 0 0 0 0 0 4 0 0 0 0 0 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 0 0 0 4 4 0 4 0 4 4 0 4 4 4 4 0 4 0 0 0 0 0 4 4 4 0 0 0 4 4 4 4 4 0 0 0 4 0 0 0 4 4 4 0 0 4 0 4 4 0 0 4 0 0 0 0 0 4 4 0 4 0 4 0 4 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 generates a code of length 98 over Z8 who´s minimum homogenous weight is 68. Homogenous weight enumerator: w(x)=1x^0+58x^68+4x^69+40x^70+18x^71+118x^72+52x^73+89x^74+82x^75+143x^76+122x^77+130x^78+170x^79+183x^80+216x^81+156x^82+252x^83+206x^84+232x^85+277x^86+314x^87+380x^88+442x^89+607x^90+622x^91+953x^92+1176x^93+1619x^94+1944x^95+2128x^96+2540x^97+2197x^98+2588x^99+2075x^100+1954x^101+1627x^102+1132x^103+1064x^104+600x^105+604x^106+390x^107+377x^108+338x^109+266x^110+298x^111+195x^112+254x^113+184x^114+218x^115+126x^116+158x^117+150x^118+116x^119+94x^120+86x^121+130x^122+38x^123+59x^124+16x^125+72x^126+8x^127+25x^128+2x^129+30x^130+2x^131+3x^132+10x^134+4x^136+2x^138+1x^142+1x^146 The gray image is a code over GF(2) with n=392, k=15 and d=136. This code was found by Heurico 1.16 in 99.8 seconds.