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 2 2 1 1 2 2 2 1 1 1 4 1 1 2 2 1 1 1 2 4 4 1 1 1 1 1 1 2 4 2 1 1 1 2 2 4 1 0 4 2 1 1 1 0 12 0 0 0 4 12 4 0 8 4 12 0 8 12 0 4 4 8 4 12 12 8 4 12 12 8 0 12 0 0 12 12 0 12 8 8 0 8 4 12 12 12 0 8 12 8 4 8 4 12 8 12 12 0 4 4 0 12 8 8 4 0 12 8 12 4 4 4 12 4 4 12 8 12 4 12 4 0 0 0 12 0 4 4 12 0 0 0 4 8 4 4 0 8 4 4 12 8 12 0 8 4 4 0 12 8 0 12 12 0 0 8 4 12 4 0 0 8 0 8 12 0 4 12 4 4 12 8 8 4 4 4 4 12 12 4 8 8 0 8 8 8 12 4 8 8 4 0 4 4 0 0 4 8 8 0 4 0 0 0 12 4 0 12 4 0 4 12 8 12 0 4 8 8 8 4 0 4 4 12 0 4 4 8 4 8 8 12 8 4 4 0 4 0 12 0 0 0 8 12 4 8 4 8 12 0 12 0 12 0 4 12 0 0 12 8 4 12 0 8 4 12 4 4 8 4 0 12 8 4 4 4 8 4 4 4 0 0 0 0 8 0 0 0 8 0 8 8 0 0 0 0 8 8 8 0 8 8 0 8 0 0 0 8 0 8 8 8 0 8 8 0 0 0 8 8 0 0 0 0 8 0 0 8 0 0 8 8 0 8 0 0 8 0 8 8 0 0 8 0 0 8 0 8 0 8 8 0 8 0 0 0 8 0 8 0 0 0 0 0 8 0 0 8 8 8 0 8 0 8 8 0 8 8 0 8 8 0 0 8 0 8 8 8 0 8 8 0 8 8 8 0 0 0 0 8 8 8 0 8 8 8 8 8 0 8 0 8 0 0 8 8 0 8 8 0 8 8 8 8 8 8 0 0 0 0 8 8 8 0 8 8 8 0 0 0 0 0 0 0 8 0 0 0 0 0 0 8 8 8 0 0 8 8 8 8 0 8 0 8 0 8 0 0 0 8 0 0 8 0 8 8 0 8 8 0 8 8 0 0 8 0 8 8 0 8 8 8 0 0 0 0 8 0 8 8 0 0 8 0 0 8 8 8 0 8 0 8 8 8 8 8 8 0 0 0 0 0 0 0 8 8 8 0 8 0 0 0 0 0 8 0 8 8 0 8 8 0 0 0 0 0 0 0 8 0 8 0 8 8 8 8 8 8 8 8 0 0 8 8 8 0 0 8 8 0 0 0 8 0 8 0 0 8 0 0 0 8 0 8 0 8 0 8 0 8 0 8 0 8 0 8 generates a code of length 79 over Z16 who´s minimum homogenous weight is 68. Homogenous weight enumerator: w(x)=1x^0+55x^68+98x^69+151x^70+200x^71+270x^72+302x^73+482x^74+516x^75+947x^76+1764x^77+2184x^78+2590x^79+2292x^80+1620x^81+993x^82+552x^83+361x^84+230x^85+186x^86+172x^87+134x^88+58x^89+60x^90+52x^91+29x^92+20x^93+38x^94+14x^95+7x^96+4x^97+1x^98+1x^118 The gray image is a code over GF(2) with n=632, k=14 and d=272. This code was found by Heurico 1.16 in 10.2 seconds.