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 2 2 1 1 1 1 1 2 1 1 2 1 1 1 1 4 0 1 2 1 1 1 2 1 2 1 2 1 0 1 8 1 4 1 0 1 2 4 1 8 4 2 1 2 0 1 0 12 0 0 0 4 12 4 8 0 4 12 0 0 4 12 8 8 8 8 4 4 4 8 4 0 4 12 0 4 12 8 8 0 0 4 4 0 4 4 0 12 4 8 4 0 4 0 4 4 8 8 0 8 4 12 0 8 0 0 0 12 0 4 8 4 0 8 4 4 0 4 8 4 8 0 4 4 8 4 8 0 0 12 0 4 4 12 0 0 4 8 4 0 4 8 4 0 8 4 4 12 0 4 12 0 8 0 0 12 12 12 8 0 4 4 12 12 8 4 8 8 12 0 4 4 4 0 12 8 8 4 4 0 4 4 8 0 4 8 8 4 8 8 4 0 4 8 4 0 8 12 0 0 0 4 12 8 12 4 8 0 0 0 0 12 4 0 12 4 4 8 0 4 0 12 4 8 4 0 0 12 4 4 8 4 8 12 4 8 8 12 0 4 8 0 0 8 0 0 0 12 8 12 12 12 12 4 8 4 8 4 0 8 4 8 8 0 4 8 0 4 12 4 12 12 12 0 12 0 8 0 12 4 4 4 4 0 8 8 0 0 4 0 0 0 0 8 0 0 8 0 8 8 0 0 0 0 0 8 0 8 0 8 0 8 8 8 8 8 0 8 8 8 8 0 0 0 8 8 8 0 8 8 8 8 8 0 0 8 8 0 8 8 8 8 8 8 8 0 0 8 0 0 8 0 0 8 8 8 0 8 0 0 0 8 0 8 8 8 0 0 8 8 0 0 0 0 0 8 0 8 8 8 0 8 0 8 8 0 0 8 0 0 0 0 8 8 8 8 0 8 0 8 0 8 8 8 0 0 8 8 8 8 0 0 8 0 0 8 8 8 8 0 0 0 0 8 0 0 8 8 0 8 0 0 0 8 0 8 0 0 0 8 0 0 8 8 8 0 8 0 0 0 8 0 0 0 0 0 0 8 0 8 8 8 8 8 0 0 8 0 8 8 8 8 0 0 8 0 8 0 8 0 8 8 0 0 0 8 0 0 8 8 8 0 0 8 8 0 0 8 0 0 8 0 8 8 0 0 0 0 8 8 8 0 0 8 8 8 8 0 8 0 8 8 8 0 0 0 0 0 0 8 8 0 generates a code of length 81 over Z16 who´s minimum homogenous weight is 72. Homogenous weight enumerator: w(x)=1x^0+119x^72+4x^73+292x^74+84x^75+384x^76+284x^77+749x^78+724x^79+1065x^80+948x^81+1189x^82+636x^83+597x^84+276x^85+315x^86+92x^87+151x^88+24x^89+115x^90+85x^92+28x^94+27x^96+2x^100+1x^120 The gray image is a code over GF(2) with n=648, k=13 and d=288. This code was found by Heurico 1.16 in 2.75 seconds.