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 4 1 2 1 1 1 1 4 1 1 2 0 1 2 1 1 0 2 1 1 2 1 1 1 1 0 1 1 2 0 0 1 1 0 2 0 2 4 4 1 1 1 2 0 2 0 0 0 2 6 2 0 0 4 4 2 2 6 2 0 4 2 2 6 0 6 4 4 6 0 2 4 6 6 6 4 4 2 2 0 2 4 0 6 6 4 4 4 2 2 0 6 0 4 0 4 6 6 4 2 0 0 4 2 6 0 0 0 2 6 4 4 0 2 2 2 2 6 4 6 0 0 0 2 0 2 2 6 0 0 4 2 2 2 6 4 0 0 0 6 0 4 6 2 2 6 2 2 4 0 4 2 6 4 4 2 6 0 0 2 0 2 4 2 2 6 2 2 2 6 6 0 2 6 4 6 2 4 6 6 4 4 2 2 4 2 2 0 6 2 6 4 6 0 4 0 2 2 0 0 0 0 2 2 0 6 2 4 2 2 0 0 2 0 6 4 2 0 4 6 4 2 6 0 2 2 2 6 0 4 0 4 4 6 4 6 6 0 2 6 0 6 2 6 0 2 0 6 4 2 0 2 4 4 4 2 4 6 4 0 4 2 2 0 2 2 6 2 2 4 4 4 4 6 0 2 6 0 0 0 0 4 0 0 0 0 0 0 4 4 4 0 0 4 0 0 0 4 4 0 4 4 4 4 4 4 4 0 0 0 0 4 4 4 0 0 4 0 0 4 0 0 4 0 0 0 0 0 4 0 4 4 0 4 4 4 4 4 4 0 0 4 4 0 0 0 4 4 0 4 4 0 4 0 4 0 0 0 0 0 4 0 4 4 0 4 4 4 0 4 0 4 4 0 0 0 0 0 0 4 4 4 4 0 4 0 4 0 4 4 4 0 0 4 4 4 4 0 0 4 4 0 4 4 0 4 0 0 4 4 4 0 0 0 0 4 0 0 4 0 0 0 0 4 0 0 0 0 4 0 0 0 4 0 0 0 0 0 0 4 4 0 4 4 0 4 4 4 4 4 4 4 4 4 0 0 4 4 0 4 0 0 4 0 4 4 4 4 4 4 0 4 0 0 0 0 0 0 0 4 0 4 4 0 4 0 0 0 0 0 4 0 4 4 0 4 0 0 4 4 4 4 4 0 4 4 4 0 0 4 0 generates a code of length 78 over Z8 who´s minimum homogenous weight is 69. Homogenous weight enumerator: w(x)=1x^0+70x^69+113x^70+140x^71+160x^72+226x^73+289x^74+284x^75+341x^76+360x^77+372x^78+328x^79+274x^80+252x^81+206x^82+180x^83+131x^84+74x^85+81x^86+68x^87+34x^88+26x^89+25x^90+24x^91+15x^92+16x^93+2x^94+3x^96+1x^116 The gray image is a code over GF(2) with n=312, k=12 and d=138. This code was found by Heurico 1.16 in 3.89 seconds.