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 2 2 1 1 2 2 4 1 2 4 2 1 1 2 1 2 1 2 1 2 1 1 1 4 1 4 2 2 2 2 1 2 1 2 1 8 4 4 1 1 1 1 0 12 0 0 0 0 0 0 0 12 4 12 12 4 8 8 8 12 12 12 8 4 4 8 0 8 0 12 4 8 12 0 8 0 4 8 12 12 8 4 12 0 12 12 0 12 8 4 12 8 8 0 8 12 4 8 12 0 8 12 12 0 12 0 4 0 12 12 0 12 0 12 4 0 4 4 8 4 0 0 0 12 0 0 0 4 12 4 4 4 8 0 8 4 4 8 12 12 4 12 12 12 0 12 12 12 8 4 12 12 0 0 8 8 8 4 12 4 12 12 4 8 0 8 8 12 12 4 4 0 8 4 0 4 4 8 12 12 0 8 8 0 8 4 4 8 8 0 12 12 12 8 4 12 4 12 0 0 0 0 0 12 0 4 4 4 8 4 0 12 4 8 12 0 8 4 8 0 8 8 12 12 8 8 4 8 4 8 8 12 0 0 0 8 4 12 8 4 0 4 12 8 4 12 12 8 8 0 8 12 0 8 0 12 8 12 4 0 0 4 12 12 8 12 4 4 0 0 0 4 8 4 0 0 0 8 0 0 0 0 0 12 4 0 4 4 8 0 8 12 4 8 0 4 4 0 12 12 0 8 4 4 8 4 8 12 8 12 12 4 0 4 0 0 8 0 0 12 8 12 8 8 4 8 0 8 4 4 0 4 0 4 0 4 0 12 4 0 8 12 0 4 8 12 4 12 12 8 0 4 8 8 0 4 0 0 0 0 0 0 0 8 0 0 8 0 8 8 8 0 8 8 8 8 0 0 0 0 0 8 8 0 0 8 0 8 0 0 0 8 0 0 8 8 8 8 8 8 0 8 8 8 8 8 8 0 8 8 0 8 8 0 0 0 8 8 0 0 8 0 8 0 8 0 8 0 8 8 0 8 0 8 0 8 0 0 0 0 0 0 0 8 0 0 0 0 0 0 8 0 8 8 8 0 8 0 8 8 8 8 8 8 8 0 0 0 8 8 0 0 8 0 8 8 8 8 0 0 0 8 8 8 8 8 0 0 0 8 0 0 0 0 8 0 0 0 8 8 0 8 8 0 0 8 0 0 0 0 8 0 8 0 8 8 generates a code of length 79 over Z16 who´s minimum homogenous weight is 68. Homogenous weight enumerator: w(x)=1x^0+29x^68+102x^69+160x^70+222x^71+269x^72+362x^73+535x^74+468x^75+1009x^76+1634x^77+2184x^78+2726x^79+2128x^80+1610x^81+931x^82+448x^83+490x^84+258x^85+211x^86+158x^87+118x^88+114x^89+52x^90+68x^91+36x^92+14x^93+17x^94+6x^95+15x^96+2x^97+6x^98+1x^112 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 9.93 seconds.