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 2 0 2 0 2 0 1 2 0 1 2 0 1 0 1 1 1 1 1 2 1 1 1 0 1 2 0 1 1 0 1 1 1 2 2 1 2 2 0 1 1 1 1 4 1 4 1 4 1 0 2 1 2 2 2 0 2 0 6 0 6 0 6 0 6 0 6 6 4 0 6 2 4 6 6 0 2 0 4 0 0 6 6 2 2 0 4 6 2 6 2 6 2 6 6 2 6 6 2 6 2 0 0 6 6 2 6 0 0 2 2 4 6 2 6 0 2 0 2 6 6 6 4 2 6 2 4 6 6 6 2 2 2 4 2 0 2 6 2 6 0 0 0 0 4 0 0 0 0 0 0 0 0 0 0 4 4 0 0 4 4 4 0 4 0 4 0 4 0 0 0 4 0 0 0 0 4 4 4 0 0 4 0 0 0 0 4 4 4 0 0 0 4 4 4 0 0 0 4 0 4 0 4 4 4 0 4 0 4 0 4 0 4 4 0 4 4 0 4 4 4 0 0 0 4 4 4 0 0 0 0 0 4 0 0 0 0 0 0 0 0 4 0 0 0 4 0 4 4 0 4 0 0 0 0 4 0 0 0 4 4 0 4 4 4 0 0 4 0 4 0 4 4 4 0 4 0 4 0 4 0 0 0 0 4 4 4 4 0 4 0 4 0 4 0 0 4 0 4 4 4 0 0 0 4 4 0 4 0 4 0 0 4 4 0 4 0 0 0 0 4 0 0 0 0 0 0 0 0 0 4 0 0 4 0 0 4 0 4 4 4 4 0 0 0 0 0 0 0 0 0 0 4 4 4 4 4 4 4 0 4 4 0 4 0 4 4 0 4 4 0 0 4 4 0 4 4 0 0 4 4 0 0 4 4 4 0 4 4 4 4 0 4 4 4 0 0 4 0 4 0 0 0 0 0 0 0 0 4 0 0 0 0 0 0 4 0 0 4 0 0 0 0 0 4 0 0 0 0 0 0 4 4 4 4 4 0 4 4 0 4 4 4 0 0 4 0 4 0 0 4 0 4 4 4 4 4 4 4 0 0 4 0 4 0 0 4 4 4 0 0 0 4 0 4 0 0 4 4 0 4 4 0 0 4 4 0 0 4 0 0 0 0 0 0 0 4 0 0 0 0 0 0 0 0 0 0 4 0 0 0 0 0 0 4 0 4 4 4 4 0 4 0 4 4 0 4 4 4 0 4 4 0 4 0 4 4 4 0 0 4 0 0 0 4 0 4 4 4 4 4 0 0 0 4 4 4 0 0 0 4 0 4 0 4 4 0 4 0 4 0 0 0 0 4 0 0 0 0 0 0 0 0 0 4 0 0 0 4 0 0 0 4 0 0 4 4 4 0 0 4 4 4 0 4 4 4 0 0 0 4 0 4 4 4 4 0 0 0 4 4 0 4 0 0 4 0 0 0 0 4 0 0 4 4 4 4 0 0 0 4 0 4 0 0 0 0 4 0 4 4 0 0 4 0 0 4 4 0 4 4 0 0 0 0 0 0 0 0 0 0 0 4 0 0 0 0 0 4 0 0 4 0 0 4 0 4 4 4 0 4 4 4 4 4 0 0 4 4 4 0 0 0 0 4 0 4 0 4 4 4 4 4 0 0 4 4 0 0 4 0 0 4 4 0 4 0 0 4 0 0 0 0 4 4 0 0 4 4 4 4 4 4 0 0 4 4 0 4 4 4 0 0 0 0 0 0 0 0 0 4 0 4 0 0 0 0 4 0 4 0 0 4 4 4 4 4 4 0 4 0 0 0 4 0 4 0 0 4 4 0 0 0 4 4 4 4 4 4 4 4 0 0 0 4 0 4 4 0 0 0 0 0 0 0 0 0 0 4 0 0 0 4 4 0 4 4 4 0 0 4 0 4 4 4 0 4 4 0 0 0 0 0 0 0 0 0 0 4 0 0 4 4 4 4 4 0 4 4 0 0 0 0 4 0 4 4 4 4 4 0 0 4 4 4 0 0 0 0 4 0 4 4 0 0 4 4 4 0 4 4 4 4 0 4 4 0 4 4 4 4 4 4 0 4 4 0 4 4 0 4 0 4 0 4 4 4 0 0 4 0 0 4 0 0 generates a code of length 87 over Z8 who´s minimum homogenous weight is 72. Homogenous weight enumerator: w(x)=1x^0+109x^72+56x^74+409x^76+24x^77+380x^78+112x^79+874x^80+248x^81+942x^82+448x^83+1629x^84+752x^85+1622x^86+928x^87+2035x^88+752x^89+1476x^90+448x^91+1217x^92+248x^93+520x^94+112x^95+550x^96+24x^97+118x^98+229x^100+6x^102+68x^104+34x^108+11x^112+2x^116 The gray image is a code over GF(2) with n=348, k=14 and d=144. This code was found by Heurico 1.16 in 27.9 seconds.