The generator matrix 1 0 0 0 1 1 1 1 1 2 2 1 4 1 6 1 0 1 2 0 1 1 1 1 1 1 6 1 6 6 0 1 4 2 0 1 1 6 1 1 1 1 2 1 6 1 6 0 1 1 1 1 1 6 1 1 0 6 2 2 1 6 1 6 1 1 0 1 4 1 1 0 6 4 1 0 0 1 0 1 0 0 2 1 3 4 6 2 1 3 1 1 1 5 1 2 1 2 1 3 3 0 4 0 1 6 1 0 0 7 6 1 6 7 6 1 3 1 0 5 0 6 6 7 1 1 4 3 3 4 5 1 2 1 4 2 1 1 0 1 3 0 1 5 1 1 2 5 2 6 2 4 0 1 4 2 0 0 1 0 0 0 0 1 1 1 7 5 2 3 5 2 7 2 6 1 5 6 3 5 5 6 4 3 1 1 2 6 0 7 1 6 2 6 5 3 2 4 1 7 4 4 4 6 1 3 5 1 6 2 5 2 1 1 5 6 4 3 5 1 4 1 6 3 0 0 7 1 1 1 3 3 1 0 0 0 0 1 1 3 6 3 2 3 6 0 7 1 3 7 2 5 5 2 4 0 3 0 1 0 2 4 6 2 1 2 1 5 3 7 0 4 5 0 5 4 0 1 1 7 0 5 2 5 4 3 5 1 6 0 7 4 0 6 4 3 5 3 1 0 1 2 1 6 5 1 6 7 4 4 5 1 0 0 0 0 4 0 0 0 4 4 0 4 0 0 4 4 4 0 4 4 0 4 4 0 4 4 4 4 0 4 4 0 0 0 0 4 0 0 4 0 0 4 0 0 4 4 0 4 4 4 4 4 4 0 0 0 0 4 4 4 0 4 0 0 0 0 0 0 0 0 4 4 4 0 4 4 0 4 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 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 0 4 4 4 4 0 0 4 4 4 0 0 0 4 4 4 4 0 4 4 0 4 4 4 0 0 0 0 0 0 0 4 0 0 0 4 4 4 4 4 4 0 4 0 4 0 0 0 4 4 4 4 4 0 0 0 0 4 0 4 4 4 0 0 4 4 0 0 0 0 0 4 0 4 0 4 0 4 0 4 0 4 0 0 4 0 4 0 4 0 4 0 0 0 0 4 0 4 4 0 4 0 4 generates a code of length 78 over Z8 who´s minimum homogenous weight is 68. Homogenous weight enumerator: w(x)=1x^0+172x^68+390x^69+710x^70+1158x^71+1411x^72+1668x^73+2094x^74+2164x^75+2413x^76+2636x^77+2807x^78+2966x^79+2581x^80+2508x^81+2088x^82+1594x^83+1116x^84+766x^85+656x^86+384x^87+224x^88+88x^89+88x^90+50x^91+11x^92+8x^93+2x^94+4x^95+6x^96+2x^98+1x^104+1x^110 The gray image is a code over GF(2) with n=312, k=15 and d=136. This code was found by Heurico 1.16 in 43 seconds.