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 2 1 1 1 1 1 1 1 1 2 1 1 1 1 1 2 1 1 1 1 2 1 1 4 1 1 1 1 1 1 2 1 1 1 0 1 1 4 1 1 1 1 1 4 1 2 1 1 2 1 2 2 0 12 0 12 0 12 0 12 8 4 0 12 4 0 8 12 0 12 8 4 8 12 4 0 12 4 12 4 0 12 0 0 8 8 12 8 12 0 12 0 4 8 12 4 12 12 8 12 4 12 8 8 12 4 4 12 12 12 12 0 12 8 0 4 12 12 8 8 8 4 0 8 12 0 12 8 8 12 8 12 0 0 0 8 0 0 0 0 0 8 0 0 8 8 8 8 0 8 8 8 0 0 0 0 0 0 0 0 8 0 8 8 0 0 8 8 0 0 8 0 8 8 0 8 8 8 8 0 0 8 0 8 8 8 0 8 0 0 8 8 0 0 0 8 0 0 8 8 8 8 8 8 0 0 8 8 8 0 0 8 8 0 0 0 0 8 0 0 0 0 0 8 0 8 0 0 0 8 8 0 8 8 8 0 0 8 0 0 0 8 8 8 8 0 0 0 8 8 8 0 0 8 0 8 8 0 0 0 8 8 0 8 0 8 8 0 8 8 0 8 8 8 8 0 0 8 8 0 0 0 8 8 0 0 8 0 0 8 0 8 8 0 0 0 0 0 0 8 0 0 0 0 0 8 0 0 0 8 0 8 8 8 8 8 0 0 0 8 8 8 8 8 0 8 0 8 0 0 8 8 8 0 8 8 0 0 0 0 0 8 0 8 8 8 0 0 0 8 8 8 0 0 8 8 8 0 0 8 8 8 8 8 8 8 8 8 8 8 8 8 8 0 0 0 0 0 0 0 0 8 0 0 0 0 8 8 0 8 8 8 8 0 0 8 0 0 8 0 0 8 8 8 0 8 8 8 0 0 0 0 0 8 8 8 8 8 8 0 8 0 8 0 0 0 0 0 8 0 8 8 0 0 0 0 8 8 0 8 0 0 8 8 0 0 0 8 8 0 8 0 0 8 0 8 8 0 0 0 0 0 0 8 0 8 0 8 8 8 0 0 0 8 0 8 8 0 8 8 8 0 0 8 0 8 8 0 0 8 0 0 0 0 0 0 0 0 8 8 0 8 8 0 8 8 0 8 0 8 8 8 8 0 8 0 0 0 0 8 8 0 0 0 8 0 0 8 0 8 8 8 0 0 8 8 0 8 0 0 0 0 0 0 0 8 0 8 8 0 0 8 8 8 0 0 8 0 8 8 0 8 8 0 8 0 8 0 8 0 8 8 8 0 8 0 8 0 0 0 8 8 0 8 8 0 0 0 8 8 0 0 8 8 0 8 0 0 0 0 8 0 0 8 0 8 0 0 8 8 0 0 8 8 0 8 0 0 8 generates a code of length 81 over Z16 who´s minimum homogenous weight is 72. Homogenous weight enumerator: w(x)=1x^0+44x^72+4x^73+108x^74+12x^75+135x^76+84x^77+134x^78+508x^79+646x^80+844x^81+632x^82+484x^83+108x^84+92x^85+80x^86+20x^87+62x^88+45x^90+19x^92+18x^94+5x^96+6x^98+2x^100+1x^104+1x^106+1x^136 The gray image is a code over GF(2) with n=648, k=12 and d=288. This code was found by Heurico 1.16 in 1.11 seconds.