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 2 2 1 2 1 2 1 1 1 2 2 1 1 1 2 1 2 1 1 1 1 1 1 1 4 1 1 1 1 2 1 2 1 1 1 1 2 1 1 2 1 1 1 2 1 1 1 1 0 8 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 8 8 8 8 8 0 0 0 8 8 8 0 8 8 0 0 8 0 0 8 0 8 8 8 0 8 0 8 8 0 0 0 0 8 8 8 0 0 8 8 8 8 8 0 0 8 0 8 8 8 8 0 8 0 0 0 8 0 0 0 0 0 8 0 0 8 0 0 0 0 0 8 0 0 0 0 0 0 0 0 0 8 0 0 8 8 8 8 8 8 0 0 0 0 0 0 0 0 8 0 8 8 8 8 8 8 8 8 8 8 8 0 0 8 0 8 8 8 8 8 0 0 0 8 8 0 8 8 8 0 8 0 8 0 8 8 0 0 0 0 0 0 0 8 8 8 0 8 8 0 0 0 0 0 0 0 0 0 8 0 0 0 0 0 0 0 0 8 8 8 8 8 0 8 8 8 8 0 0 8 8 8 8 8 8 0 8 0 8 8 0 8 8 0 0 0 0 0 0 0 8 0 0 8 0 0 8 0 0 0 0 0 8 0 0 8 0 0 8 8 0 8 8 8 8 8 8 0 8 0 0 0 8 8 8 0 0 0 0 0 0 0 0 0 0 8 0 0 0 0 0 0 8 0 8 8 0 8 8 8 0 8 0 8 0 8 0 0 8 0 8 0 0 0 0 0 8 8 0 8 8 0 8 8 8 8 0 0 8 0 0 8 0 0 8 8 0 0 0 8 8 0 0 8 8 8 0 0 8 8 0 8 0 8 0 8 0 0 8 0 8 0 8 8 0 0 0 0 0 0 0 0 8 0 0 0 0 0 8 0 0 8 8 8 8 8 0 0 8 8 0 0 0 8 0 0 0 8 8 0 8 8 0 8 8 0 8 8 8 0 0 0 8 8 0 0 0 8 0 8 8 8 8 0 0 0 0 8 8 8 0 0 0 8 8 0 0 8 8 8 8 0 0 0 0 0 8 8 8 0 8 8 0 0 0 0 0 0 0 8 0 0 0 8 0 0 0 8 8 0 0 8 0 0 8 8 0 8 8 8 0 8 8 8 0 0 0 0 8 8 8 8 0 0 8 0 8 8 0 8 8 8 8 0 8 0 8 8 0 0 8 8 0 8 8 0 8 8 0 0 0 8 0 0 8 0 0 0 0 8 0 8 0 8 0 0 8 8 0 0 0 0 0 0 0 0 8 0 0 8 0 0 8 0 0 8 0 0 8 0 8 8 8 0 8 0 8 8 8 0 8 8 0 8 0 0 8 0 8 8 8 0 8 8 0 0 8 0 8 0 0 8 0 0 8 8 0 8 8 0 0 0 0 0 8 8 0 0 0 0 8 0 8 0 8 8 8 0 0 0 8 0 0 0 0 0 0 0 0 0 0 0 0 8 0 8 8 8 8 0 0 0 0 8 0 0 0 0 8 8 0 0 8 8 0 8 0 8 0 0 8 0 8 8 8 0 0 8 8 8 8 0 8 8 8 8 0 8 8 0 0 8 0 0 0 0 8 0 0 8 0 8 8 8 8 0 0 0 0 0 0 0 8 8 0 0 0 8 8 8 0 0 0 0 0 0 0 0 0 0 8 8 8 8 0 0 8 8 8 8 8 0 8 8 8 8 0 8 0 8 8 8 0 8 0 8 0 8 8 8 8 0 0 8 0 0 0 8 8 0 0 0 8 8 0 0 8 0 0 8 8 8 8 0 0 8 8 0 8 0 8 0 0 8 0 0 0 0 8 0 0 8 0 0 8 8 0 generates a code of length 86 over Z16 who´s minimum homogenous weight is 72. Homogenous weight enumerator: w(x)=1x^0+47x^72+35x^74+104x^76+6x^77+78x^78+40x^79+93x^80+116x^81+86x^82+170x^83+77x^84+1212x^85+4171x^86+1232x^87+60x^88+152x^89+72x^90+68x^91+44x^92+46x^93+62x^94+24x^95+44x^96+4x^97+47x^98+2x^99+29x^100+35x^102+11x^104+15x^106+2x^108+5x^110+1x^114+1x^142 The gray image is a code over GF(2) with n=688, k=13 and d=288. This code was found by Heurico 1.16 in 3.55 seconds.