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 1 1 1 1 4 1 4 1 1 2 4 1 2 2 0 2 4 0 0 2 1 0 1 4 2 2 4 1 2 2 2 2 1 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 6 0 4 2 2 4 2 6 2 6 2 6 2 4 0 2 6 4 4 0 2 2 2 4 0 2 2 2 6 4 4 4 6 0 0 2 6 4 2 4 2 4 2 0 4 2 6 0 6 0 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 2 0 0 0 0 6 2 0 4 4 2 2 2 2 2 4 6 2 4 6 2 6 0 2 6 6 2 4 0 2 6 0 4 2 2 6 6 0 0 4 2 0 6 0 6 0 6 2 6 6 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 4 2 2 2 6 0 4 6 0 4 0 2 4 4 2 4 6 0 4 6 4 2 2 4 2 0 4 2 4 2 2 6 0 2 4 6 6 4 0 2 0 2 0 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 6 2 0 4 6 6 4 0 6 6 2 0 6 4 2 6 0 4 0 0 6 4 2 4 2 6 2 2 2 0 2 4 0 4 2 0 6 4 2 6 4 6 2 2 6 0 6 2 0 2 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 0 0 0 0 0 0 0 0 4 4 4 4 0 4 0 0 0 0 4 0 4 4 0 4 0 0 4 0 4 4 0 4 0 4 0 0 0 4 4 0 0 4 4 4 0 4 0 4 4 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 0 4 0 4 4 4 4 0 4 4 4 4 4 4 0 4 4 4 0 4 4 4 4 0 4 4 0 0 0 4 4 4 0 0 0 4 0 0 0 4 4 4 4 4 4 4 4 4 4 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 0 0 0 0 0 4 0 4 0 0 0 0 4 0 4 0 4 4 0 4 0 0 4 0 0 4 0 4 0 0 0 4 4 0 0 0 0 4 0 0 4 0 4 0 0 0 4 0 4 4 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 4 4 0 0 0 4 4 4 0 0 4 0 4 0 0 0 4 4 4 4 4 0 4 4 4 0 0 0 0 0 4 4 0 4 0 4 0 0 0 4 4 0 0 4 0 0 4 4 generates a code of length 77 over Z8 who´s minimum homogenous weight is 64. Homogenous weight enumerator: w(x)=1x^0+223x^64+622x^66+16x^67+978x^68+76x^69+1448x^70+356x^71+2225x^72+940x^73+3048x^74+1672x^75+3795x^76+2064x^77+3672x^78+1680x^79+3255x^80+944x^81+2134x^82+360x^83+1413x^84+68x^85+864x^86+12x^87+522x^88+4x^89+228x^90+117x^92+16x^94+12x^96+1x^100+1x^104+1x^112 The gray image is a code over GF(2) with n=308, k=15 and d=128. This code was found by Heurico 1.16 in 79.3 seconds.