The generator matrix 1 0 1 1 1 6 1 1 0 1 1 6 1 1 0 1 1 6 1 1 1 1 0 0 6 6 1 1 1 1 0 6 0 1 1 1 1 6 6 1 1 1 1 1 1 0 1 6 1 0 1 1 2 1 1 6 1 0 6 1 1 4 6 1 1 1 1 4 1 1 1 1 4 2 6 1 1 0 1 1 1 0 2 0 0 6 1 1 1 0 1 3 6 1 1 0 3 1 6 1 1 0 3 1 6 5 1 0 3 6 5 1 1 1 1 0 3 6 5 1 1 1 0 6 3 3 1 1 5 0 6 5 3 6 1 4 1 5 1 6 2 1 3 7 1 0 1 1 6 5 1 1 6 6 2 5 1 0 5 2 1 2 1 1 0 3 1 5 7 1 1 6 1 1 1 0 0 0 0 0 4 0 0 0 0 0 0 0 0 0 0 4 0 0 0 4 4 4 4 4 0 4 0 4 0 0 4 0 0 0 4 4 4 0 4 4 0 0 4 4 0 4 4 4 4 4 0 4 0 0 4 0 0 4 4 0 0 4 4 4 4 4 0 4 0 0 4 0 4 0 0 0 0 0 4 0 0 4 4 4 4 4 4 4 0 0 0 0 0 0 4 0 0 0 0 0 0 0 0 0 0 0 4 0 0 4 0 4 0 4 4 4 4 4 0 0 4 4 0 4 0 4 4 0 4 0 0 0 4 4 0 0 0 4 4 4 0 4 0 4 0 0 4 0 0 0 0 4 4 4 4 4 4 4 4 4 4 4 0 0 0 0 4 0 4 0 4 0 0 4 0 0 0 0 0 0 0 0 0 0 4 0 0 0 0 0 0 0 0 0 0 0 4 0 0 4 0 4 4 4 4 4 0 0 4 4 4 4 0 0 4 0 4 4 0 4 0 0 0 0 0 4 0 4 0 4 0 4 4 0 0 0 0 0 4 4 0 4 4 4 4 4 4 4 0 0 4 0 0 4 4 4 4 0 4 4 4 4 0 0 0 4 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 4 4 4 4 4 4 4 4 4 4 4 0 0 0 4 4 0 0 4 0 0 4 4 4 0 4 0 0 4 4 0 0 4 4 0 4 4 0 4 0 0 4 4 0 0 4 4 4 4 0 0 4 4 0 4 0 0 0 0 4 4 4 0 0 0 0 0 0 0 4 0 0 0 0 0 4 0 0 4 4 4 0 0 4 4 0 4 0 4 0 4 0 0 4 4 4 0 4 0 0 4 4 0 4 0 4 0 0 4 4 0 0 4 4 0 4 4 4 0 4 0 0 0 0 0 4 4 0 0 0 0 4 0 0 4 4 4 0 0 4 4 0 4 4 0 0 0 0 0 4 4 0 0 0 0 0 0 0 0 4 0 0 0 4 0 4 4 4 4 0 0 4 4 0 0 0 0 4 0 0 4 4 0 4 0 4 4 4 4 0 0 0 4 0 4 0 0 0 4 4 4 0 0 4 4 4 4 0 4 4 4 4 4 0 4 0 4 4 0 4 0 0 0 0 0 4 0 0 0 0 0 4 4 4 0 0 4 4 0 0 0 0 0 0 0 0 0 0 0 4 0 0 4 0 0 0 0 0 0 0 0 0 0 0 0 4 4 0 4 0 4 0 4 4 0 0 4 4 4 4 0 0 4 0 4 4 4 0 4 0 0 4 4 4 4 4 4 4 4 0 4 4 4 4 4 0 0 4 0 0 4 4 0 0 4 0 0 0 0 0 4 4 0 0 4 4 0 0 0 0 0 0 0 0 0 0 0 0 0 4 0 4 4 0 4 4 0 0 4 4 0 4 0 0 4 0 4 4 0 0 4 4 4 4 4 0 0 4 0 4 0 0 0 0 0 0 0 4 4 0 0 4 4 4 0 4 4 0 4 0 4 4 4 0 0 4 4 4 0 4 0 0 0 4 4 0 0 4 4 0 4 4 0 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4 4 0 4 4 4 4 4 4 0 0 4 4 0 4 4 0 4 4 4 4 0 4 0 4 0 0 0 0 4 4 0 4 4 0 4 4 0 4 4 4 4 0 0 4 0 0 4 4 4 4 0 0 0 0 0 0 4 0 0 4 4 4 4 4 4 4 0 0 4 4 4 0 4 4 0 0 0 0 generates a code of length 89 over Z8 who´s minimum homogenous weight is 72. Homogenous weight enumerator: w(x)=1x^0+55x^72+43x^74+24x^75+165x^76+68x^77+190x^78+182x^79+594x^80+376x^81+1208x^82+650x^83+2250x^84+954x^85+3426x^86+1190x^87+4338x^88+1294x^89+4534x^90+1206x^91+3400x^92+968x^93+2132x^94+626x^95+1227x^96+372x^97+532x^98+198x^99+184x^100+58x^101+114x^102+18x^103+51x^104+6x^105+73x^106+2x^107+15x^108+26x^110+6x^112+8x^114+2x^116+2x^122 The gray image is a code over GF(2) with n=356, k=15 and d=144. This code was found by Heurico 1.16 in 67.5 seconds.