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 1 1 1 0 1 1 1 1 1 1 1 1 2 1 1 12 1 1 1 1 1 8 1 4 2 0 8 8 2 1 2 2 1 1 2 1 0 2 0 6 4 6 12 2 0 6 8 14 4 2 4 10 8 2 6 12 12 2 10 12 0 2 12 6 12 2 10 12 8 14 12 14 4 6 12 10 2 0 14 4 8 6 2 8 14 14 12 8 2 6 12 2 0 10 2 2 2 12 2 2 2 14 2 6 2 8 10 6 0 0 0 12 0 4 0 8 0 4 4 0 4 4 12 0 12 8 4 8 0 4 4 8 0 12 12 4 0 12 0 12 8 4 0 12 4 8 4 8 0 4 4 12 8 0 0 12 4 8 12 0 0 4 8 8 8 8 0 4 4 12 4 4 0 8 0 8 8 12 8 0 0 4 0 0 0 12 0 8 8 4 4 4 4 0 12 0 4 4 12 0 8 0 8 4 4 12 4 0 0 8 4 4 4 0 12 12 12 4 4 0 8 0 4 8 0 12 8 0 12 8 8 8 12 12 4 0 0 4 0 12 8 8 0 12 12 12 8 12 0 4 8 0 8 0 4 0 0 0 0 8 8 8 8 0 0 0 8 8 0 8 8 0 0 8 8 8 8 8 8 8 8 0 0 0 0 0 0 8 8 0 8 8 0 0 8 0 0 8 0 8 8 0 8 0 8 0 8 0 0 8 0 0 0 0 8 0 8 8 8 0 0 0 0 0 0 8 8 8 generates a code of length 73 over Z16 who´s minimum homogenous weight is 67. Homogenous weight enumerator: w(x)=1x^0+134x^67+72x^68+340x^69+192x^70+508x^71+528x^72+672x^73+482x^74+474x^75+199x^76+264x^77+28x^78+114x^79+22x^80+32x^81+2x^82+16x^83+9x^84+4x^85+2x^87+1x^120 The gray image is a code over GF(2) with n=584, k=12 and d=268. This code was found by Heurico 1.16 in 29 seconds.