The generator matrix 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 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 2 1 0 1 2 1 2 0 4 2 0 2 4 1 1 4 4 4 2 2 0 2 0 2 1 2 1 1 2 2 1 0 1 2 2 4 2 4 2 0 2 0 0 0 0 0 0 0 2 2 6 4 6 2 6 2 4 2 4 2 0 6 4 0 6 4 2 0 6 4 0 2 4 2 2 6 0 2 0 2 2 4 0 4 6 2 6 2 2 6 4 2 6 4 0 0 6 0 4 0 0 2 0 4 4 4 6 0 4 2 4 2 6 0 2 2 2 6 4 2 4 6 0 0 2 0 0 0 2 6 2 2 2 4 0 2 4 2 0 2 4 6 2 6 0 6 4 6 4 6 0 2 6 0 0 6 2 0 4 4 2 2 6 2 4 6 2 0 0 4 0 4 6 0 2 4 2 4 0 0 2 2 2 2 2 0 0 0 4 2 4 2 4 4 2 6 2 0 4 6 2 0 2 2 4 0 0 0 2 0 2 2 6 0 0 2 2 4 0 0 2 6 4 4 6 0 2 6 4 2 0 4 2 0 2 0 0 4 2 2 4 2 6 6 4 4 4 2 2 2 4 0 4 6 6 6 4 4 6 0 0 2 6 0 6 0 4 2 6 2 2 2 6 4 0 6 0 0 0 2 4 6 0 6 2 4 2 4 0 0 0 0 2 2 0 6 2 0 2 2 4 2 6 4 4 0 0 2 2 4 6 2 2 0 4 2 2 6 0 4 6 6 4 2 0 2 4 2 2 2 6 0 6 4 4 0 4 6 0 2 0 2 0 2 2 0 2 4 6 0 4 0 0 4 6 0 0 0 2 0 6 6 0 6 0 0 4 2 4 4 0 0 0 0 0 0 4 0 0 0 4 4 0 4 4 4 4 4 4 4 0 4 0 0 4 4 4 0 4 0 0 4 4 0 0 4 0 4 0 0 4 4 4 0 4 0 4 0 0 0 4 4 4 4 0 0 4 0 0 4 0 4 0 0 4 4 0 0 0 0 4 0 0 0 0 0 4 0 0 4 4 0 0 0 0 0 0 0 0 0 4 0 0 0 0 0 0 0 0 0 4 0 4 0 4 0 0 4 4 4 4 4 4 0 4 0 4 4 4 4 4 0 4 0 4 4 0 0 4 4 4 0 0 4 0 4 0 0 4 4 4 0 0 0 4 0 4 4 0 4 4 0 0 4 4 0 4 0 4 0 4 4 0 4 4 0 0 0 0 0 0 0 0 0 4 0 4 0 4 4 4 4 4 4 4 4 0 4 0 0 4 4 4 0 4 0 0 4 4 0 4 0 4 4 4 4 0 0 0 0 0 4 0 4 4 4 0 4 0 0 0 4 4 4 4 0 4 0 0 0 4 0 4 0 4 0 0 4 4 4 4 4 0 0 4 0 0 0 0 0 0 0 0 0 0 0 0 0 4 0 0 0 0 0 4 0 0 0 0 4 4 4 4 4 4 0 0 0 0 0 4 4 0 0 4 4 4 4 4 4 4 0 4 0 4 4 4 0 4 4 4 0 4 0 0 0 4 0 0 4 4 0 0 4 0 0 0 4 4 0 4 0 4 0 4 0 4 4 4 0 4 4 0 generates a code of length 83 over Z8 who´s minimum homogenous weight is 69. Homogenous weight enumerator: w(x)=1x^0+72x^69+144x^70+238x^71+389x^72+464x^73+598x^74+736x^75+995x^76+1108x^77+1535x^78+1786x^79+2024x^80+2422x^81+2482x^82+2650x^83+2595x^84+2438x^85+2074x^86+1918x^87+1499x^88+1214x^89+990x^90+662x^91+514x^92+360x^93+276x^94+150x^95+145x^96+106x^97+74x^98+46x^99+23x^100+6x^101+18x^102+4x^103+6x^104+2x^105+2x^107+1x^108+1x^110 The gray image is a code over GF(2) with n=332, k=15 and d=138. This code was found by Heurico 1.16 in 86.3 seconds.