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 2 1 2 1 2 1 1 1 2 1 1 1 1 1 1 2 1 1 2 1 1 1 1 1 1 1 1 1 1 4 0 1 2 1 4 1 1 1 1 0 1 4 1 1 1 2 0 4 2 2 2 2 1 1 2 1 0 12 0 12 0 12 0 12 0 4 8 12 0 12 4 0 8 8 12 12 0 12 4 8 0 8 8 12 12 12 4 12 4 4 12 12 0 12 4 0 4 0 12 0 8 12 0 8 12 4 12 4 0 0 8 12 12 4 12 12 8 12 4 4 4 4 4 4 12 8 0 0 12 4 12 12 4 4 4 0 8 0 0 0 0 8 0 0 0 0 0 0 0 8 0 8 8 8 0 8 0 0 0 8 8 0 0 0 8 0 0 0 8 8 0 0 0 8 8 8 0 8 0 8 0 8 8 0 8 0 0 0 8 0 0 0 8 8 8 8 0 0 8 8 8 8 8 0 8 0 0 0 8 8 8 0 0 0 8 0 8 0 8 0 0 0 0 0 0 8 0 0 0 0 0 8 0 0 0 8 8 0 0 0 0 8 8 0 8 8 8 8 8 8 0 8 0 8 0 0 8 0 0 8 0 8 8 8 0 8 0 8 0 8 0 0 0 0 8 8 8 0 8 0 0 0 0 8 0 8 8 8 0 0 0 0 8 8 0 0 8 8 8 8 0 0 0 8 8 0 0 0 0 8 0 0 0 0 0 0 0 8 0 0 8 0 8 0 0 8 0 0 8 8 0 0 8 8 0 0 8 8 8 8 0 8 8 8 8 8 0 0 8 0 0 0 8 8 8 8 8 8 8 0 0 0 0 8 0 0 8 0 0 8 0 8 0 0 8 0 0 8 8 8 8 8 8 8 8 8 0 8 0 0 0 0 0 8 0 0 0 0 0 8 0 8 8 0 0 0 0 8 0 8 0 0 0 0 0 8 0 0 0 8 8 8 8 0 8 0 8 8 0 8 8 8 8 8 0 8 0 0 8 8 0 0 8 0 0 0 0 8 8 0 0 8 8 8 0 8 8 8 0 8 8 0 8 0 0 0 8 8 0 8 0 0 0 0 0 0 0 8 0 0 0 0 0 8 0 0 8 8 0 8 8 8 8 8 8 0 8 8 0 8 8 8 0 0 8 8 8 0 8 0 8 8 0 8 0 0 8 8 8 8 8 0 0 8 0 0 8 0 8 0 0 0 8 0 0 8 8 0 8 8 0 8 0 0 8 0 8 0 0 0 8 8 8 0 0 0 0 0 0 0 0 8 0 8 0 8 0 8 0 8 8 0 8 8 0 8 0 8 8 8 0 8 0 8 8 0 8 8 8 0 8 8 0 0 0 0 0 8 0 0 8 8 0 8 0 8 0 0 8 8 0 0 8 8 0 8 0 8 0 8 0 8 0 8 0 0 0 0 0 8 8 8 0 8 0 8 8 0 0 0 0 0 0 0 0 8 0 8 8 8 0 8 8 8 8 0 8 0 8 8 0 8 8 0 0 0 0 8 8 0 8 8 0 0 8 8 8 0 0 8 8 0 0 8 0 8 8 8 8 0 0 0 0 0 8 8 8 0 0 8 8 0 0 0 0 8 8 8 8 8 8 8 8 0 0 0 8 8 0 0 generates a code of length 83 over Z16 who´s minimum homogenous weight is 72. Homogenous weight enumerator: w(x)=1x^0+43x^72+28x^73+90x^74+74x^75+114x^76+172x^77+169x^78+378x^79+522x^80+824x^81+1150x^82+1140x^83+1132x^84+824x^85+508x^86+388x^87+151x^88+172x^89+80x^90+66x^91+42x^92+28x^93+28x^94+2x^95+23x^96+14x^98+16x^100+6x^102+4x^104+2x^106+1x^126 The gray image is a code over GF(2) with n=664, k=13 and d=288. This code was found by Heurico 1.16 in 3.18 seconds.