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 1 2 1 2 1 1 1 1 1 1 1 2 1 1 1 2 1 1 1 1 2 1 1 4 1 1 2 1 1 1 1 4 4 1 0 1 0 2 4 8 2 4 2 2 0 12 0 4 0 0 4 12 8 12 0 12 0 12 8 12 8 8 4 4 12 12 0 0 12 4 0 8 4 8 0 12 0 8 4 12 0 0 12 12 0 0 12 12 4 0 0 0 12 12 8 8 4 0 4 8 4 0 8 4 12 8 8 12 4 0 8 8 0 8 4 4 8 4 0 12 4 4 12 8 8 0 8 12 0 0 12 4 0 12 4 8 4 4 0 0 0 4 4 8 4 8 12 8 12 8 8 4 8 8 8 12 4 8 12 4 0 4 4 0 0 12 4 8 0 8 0 0 12 4 8 4 8 4 0 0 4 0 0 0 0 0 12 4 8 12 12 0 8 4 4 12 4 8 8 12 4 4 4 0 0 0 8 8 12 12 4 0 0 0 0 8 0 0 0 0 0 8 8 0 8 0 8 8 8 0 0 0 8 8 8 8 8 8 8 0 0 0 8 8 0 0 0 0 0 0 0 0 0 0 8 8 8 0 8 8 8 0 8 8 0 0 0 0 0 8 0 8 0 8 0 8 0 0 8 8 8 8 8 8 8 8 8 0 0 8 0 8 8 0 0 0 0 0 0 0 8 0 0 8 8 8 8 0 0 8 8 8 0 0 0 8 0 0 0 0 8 0 8 8 8 8 8 8 0 0 0 0 0 0 0 0 8 8 8 8 0 8 8 0 8 8 0 0 8 8 0 8 8 0 8 8 0 8 8 8 0 0 8 0 0 0 0 8 8 0 8 8 0 8 8 0 0 8 8 0 0 0 0 0 0 8 0 0 8 0 8 8 0 8 0 0 8 8 8 8 8 8 8 0 8 0 0 0 0 8 8 8 0 0 0 0 8 8 8 8 8 0 8 0 8 0 8 0 0 8 0 8 0 0 0 0 8 8 8 0 8 8 0 0 0 8 8 0 8 0 0 0 0 8 8 8 0 0 0 8 0 8 0 8 0 0 0 0 0 0 8 0 0 0 8 0 8 8 8 8 8 0 8 0 0 8 8 8 8 8 8 0 8 0 8 0 8 8 0 8 8 8 0 8 8 8 0 0 8 8 0 0 0 0 0 0 0 8 0 8 8 0 8 8 0 0 8 0 0 8 8 8 0 8 0 0 8 0 0 0 0 0 0 0 8 0 0 0 generates a code of length 84 over Z16 who´s minimum homogenous weight is 76. Homogenous weight enumerator: w(x)=1x^0+77x^76+160x^78+92x^79+252x^80+336x^81+222x^82+844x^83+278x^84+864x^85+182x^86+340x^87+124x^88+80x^89+74x^90+4x^91+51x^92+50x^94+37x^96+16x^98+9x^100+2x^104+1x^132 The gray image is a code over GF(2) with n=672, k=12 and d=304. This code was found by Heurico 1.16 in 1.15 seconds.