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 2 1 1 1 1 1 2 4 0 0 4 2 0 2 1 1 4 1 2 2 4 4 0 4 1 1 2 1 1 1 2 0 1 1 0 2 1 0 2 1 4 2 1 0 4 2 0 1 1 1 2 1 0 2 0 0 0 2 6 2 0 0 0 2 4 4 6 2 6 0 4 4 2 2 0 2 6 6 6 4 6 2 4 4 4 2 6 4 6 6 2 4 2 0 4 2 0 0 2 2 6 0 4 0 4 2 0 4 0 2 0 0 2 0 6 4 6 6 4 4 4 6 0 2 0 6 4 6 6 2 6 0 2 2 2 4 2 6 6 6 0 0 0 2 0 2 2 6 0 0 0 2 4 2 0 6 2 0 4 2 2 6 4 0 4 6 2 4 6 4 0 6 2 0 4 4 2 4 6 2 0 2 4 2 6 2 2 6 2 4 4 6 4 0 4 6 2 4 4 2 4 6 2 6 4 2 6 2 4 2 2 4 6 4 4 4 4 2 6 0 4 0 2 2 4 0 2 6 2 0 0 0 0 2 2 0 6 2 0 6 2 6 4 2 2 4 4 0 2 0 6 0 2 6 0 2 6 2 2 0 2 4 4 2 4 6 4 2 0 6 4 4 4 4 2 0 6 4 4 2 2 2 0 6 4 0 2 4 6 2 0 4 4 6 6 0 2 6 6 0 2 6 2 4 2 2 0 4 4 0 6 6 0 2 6 6 6 6 0 0 0 0 0 4 0 0 0 0 0 0 0 0 0 4 4 0 4 4 4 4 0 4 0 0 4 0 0 0 0 0 4 4 4 4 4 4 0 4 4 4 0 0 4 4 0 4 0 4 4 4 0 0 0 0 0 0 4 0 4 0 0 0 4 4 0 0 0 4 4 0 0 4 0 4 4 0 0 0 4 0 4 0 4 4 4 0 0 4 0 0 0 0 0 4 0 0 0 0 4 4 4 4 0 0 4 0 0 0 4 4 0 0 4 0 4 4 0 0 0 0 0 0 0 4 0 4 0 4 0 0 4 0 4 0 4 0 4 4 4 0 0 4 4 4 4 0 0 4 0 0 0 0 4 4 0 0 0 4 4 0 4 4 4 0 4 0 4 4 0 0 4 4 0 4 0 0 0 0 0 0 0 0 0 4 0 0 0 4 4 0 4 0 4 0 4 0 4 4 4 4 0 4 4 0 4 4 4 4 4 0 4 4 0 0 4 0 4 4 0 0 4 0 4 4 0 0 4 0 4 4 0 0 0 0 0 0 0 0 0 4 4 0 0 0 4 4 4 4 0 4 0 4 4 4 4 4 4 4 0 4 0 4 0 4 0 4 0 0 0 0 0 0 0 4 0 0 0 0 0 0 0 0 0 0 0 0 4 4 4 0 0 0 0 4 4 4 4 4 4 0 4 4 4 4 4 0 4 4 0 0 0 0 4 4 0 4 4 0 4 0 0 0 4 0 4 4 4 0 4 0 0 0 0 0 0 4 0 0 4 4 0 0 4 4 0 4 0 0 4 4 4 4 0 0 0 0 0 0 0 0 0 0 0 4 0 0 0 0 0 0 0 4 4 4 4 4 4 0 4 0 4 4 4 4 4 0 4 0 0 0 0 4 0 4 0 0 0 0 0 4 0 0 0 4 4 4 4 4 0 4 4 0 0 4 4 0 4 4 0 4 4 4 4 0 4 4 0 4 0 4 0 4 0 0 0 0 4 4 0 4 0 4 4 4 0 0 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 0 0 4 4 4 4 4 0 0 4 4 0 4 4 4 0 4 0 4 4 4 4 4 0 0 0 4 0 generates a code of length 89 over Z8 who´s minimum homogenous weight is 74. Homogenous weight enumerator: w(x)=1x^0+51x^74+84x^75+189x^76+290x^77+407x^78+340x^79+743x^80+566x^81+1374x^82+572x^83+2271x^84+900x^85+3217x^86+746x^87+3994x^88+1086x^89+4067x^90+840x^91+3368x^92+932x^93+2275x^94+626x^95+1294x^96+578x^97+720x^98+316x^99+301x^100+212x^101+120x^102+46x^103+91x^104+42x^105+44x^106+12x^107+29x^108+2x^109+12x^110+2x^111+4x^112+2x^116+1x^118+1x^136 The gray image is a code over GF(2) with n=356, k=15 and d=148. This code was found by Heurico 1.16 in 95.5 seconds.