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 4 0 4 2 2 1 1 1 1 1 0 2 2 4 2 2 2 1 0 1 2 1 1 1 2 1 1 2 1 0 1 1 1 0 2 0 0 0 0 0 0 0 0 0 0 0 4 4 0 0 4 0 0 0 4 4 6 6 2 2 2 6 6 6 6 2 2 6 6 6 0 4 6 0 6 2 0 4 4 4 0 6 6 6 6 0 4 4 2 2 2 0 2 0 4 2 2 2 2 2 2 0 2 2 6 4 2 2 6 4 0 0 0 2 0 0 0 0 0 0 0 2 2 6 6 6 4 6 2 4 6 4 6 4 4 6 6 4 6 0 2 6 0 4 4 2 6 0 2 2 0 0 0 4 2 6 4 2 2 4 4 2 2 2 6 0 6 0 0 4 0 2 2 0 6 2 6 4 0 2 0 6 0 6 2 6 6 2 0 0 0 0 2 0 0 0 2 6 2 4 2 2 0 2 0 2 0 6 6 4 4 0 2 6 4 6 4 0 4 2 2 6 2 4 2 0 0 0 6 4 0 2 2 4 4 2 4 4 6 4 6 2 4 0 6 4 4 0 2 4 0 4 6 0 4 4 6 6 2 0 0 4 0 0 2 0 0 0 0 0 0 2 0 2 2 2 4 4 4 4 2 6 2 6 2 6 4 4 4 4 0 2 2 2 4 2 2 2 6 6 4 4 4 4 2 4 2 4 0 0 4 0 2 2 2 6 2 2 0 2 2 0 6 4 4 2 0 6 0 4 4 4 0 6 0 2 2 2 4 0 6 4 4 0 0 0 0 0 0 0 2 2 0 2 6 2 0 2 0 2 4 4 2 4 4 2 0 4 4 4 4 0 4 4 6 6 2 0 2 2 4 2 0 6 2 6 4 4 2 0 6 0 0 6 0 6 0 4 6 6 6 2 0 4 4 0 2 0 2 2 6 0 0 4 4 4 6 2 2 6 0 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 0 0 0 0 0 0 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 0 4 4 4 4 0 4 4 4 4 4 0 0 4 4 4 4 4 0 0 0 0 4 0 4 0 0 0 0 0 0 0 0 4 4 0 0 0 0 4 4 4 0 0 0 4 4 4 4 4 0 4 4 0 0 0 4 4 0 4 0 4 4 4 0 0 0 0 0 4 4 0 4 4 4 0 4 0 4 4 4 4 4 4 4 0 0 0 0 4 0 4 4 4 4 4 0 4 0 0 0 4 0 0 generates a code of length 78 over Z8 who´s minimum homogenous weight is 64. Homogenous weight enumerator: w(x)=1x^0+72x^64+100x^65+251x^66+310x^67+432x^68+492x^69+597x^70+806x^71+953x^72+1130x^73+1646x^74+2334x^75+2608x^76+3000x^77+3201x^78+3100x^79+2667x^80+2234x^81+1707x^82+1268x^83+1006x^84+756x^85+545x^86+486x^87+359x^88+182x^89+199x^90+118x^91+80x^92+40x^93+40x^94+24x^95+12x^96+2x^97+4x^98+2x^99+2x^100+1x^110+1x^122 The gray image is a code over GF(2) with n=312, k=15 and d=128. This code was found by Heurico 1.16 in 79.6 seconds.