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 2 2 1 1 2 2 2 1 2 2 1 1 1 1 2 4 2 2 1 1 1 8 1 0 1 2 1 1 2 1 2 2 1 1 1 2 8 0 1 2 1 8 2 1 1 0 12 0 4 0 0 4 12 0 8 4 0 4 8 4 4 4 0 12 0 4 8 0 12 12 0 12 4 12 0 8 0 0 8 12 12 8 4 8 8 12 0 0 12 0 0 8 12 12 12 4 4 4 4 8 4 12 4 4 12 8 4 4 4 0 8 12 8 4 8 4 0 12 0 12 4 12 0 12 0 0 12 4 0 12 4 0 0 4 0 8 12 12 8 12 4 0 0 0 0 4 12 4 8 12 8 4 0 0 8 8 12 0 0 0 4 0 4 4 8 12 12 8 8 4 12 8 8 8 12 4 12 12 12 12 12 8 8 12 0 12 12 12 12 4 12 12 8 12 12 4 0 12 12 12 12 0 0 0 0 0 8 0 0 0 0 0 8 8 8 8 0 0 0 0 0 0 8 8 8 0 8 8 0 0 8 8 0 8 8 8 8 8 0 0 0 0 0 8 8 8 8 0 0 0 0 0 0 8 0 0 8 8 0 8 0 8 0 0 0 8 0 8 8 0 0 8 0 0 8 8 0 8 0 0 8 0 0 0 0 0 8 0 0 0 0 0 0 0 8 8 8 8 8 0 8 8 0 8 0 0 0 8 0 8 8 8 0 0 8 8 8 0 0 0 8 8 8 8 0 8 0 0 0 0 8 8 8 8 8 0 0 8 8 0 8 0 0 8 8 0 0 8 8 8 0 0 8 0 0 0 0 8 0 8 8 0 0 0 0 0 8 0 0 0 8 0 0 0 0 0 0 8 0 0 0 0 8 8 8 0 8 0 8 0 8 8 8 0 8 8 8 0 8 0 8 0 8 0 0 0 0 8 8 8 8 0 0 8 0 0 8 0 0 8 8 0 0 8 8 8 0 0 8 8 8 0 0 0 0 8 8 0 8 0 0 0 0 0 0 0 8 0 0 8 8 8 0 0 0 8 0 8 8 0 0 8 8 0 0 8 0 8 0 0 8 0 8 8 0 8 0 0 8 8 8 0 8 8 8 8 0 8 0 0 8 0 8 0 0 0 0 0 0 8 8 0 8 8 0 8 0 8 0 0 8 0 0 8 8 0 0 0 0 0 0 0 0 0 0 0 8 0 0 8 0 0 0 0 0 8 8 8 8 8 8 0 0 0 0 0 8 0 8 8 0 8 8 8 0 8 8 0 8 8 0 8 0 0 8 8 8 8 0 0 8 0 8 0 0 8 8 8 8 0 0 0 0 8 0 8 0 0 8 0 0 8 0 0 8 0 0 0 0 0 0 0 0 0 0 0 8 0 0 8 0 0 0 0 8 8 0 8 0 8 8 8 8 8 8 0 0 0 0 8 0 8 0 8 8 8 8 0 0 8 8 8 0 8 0 8 0 0 8 0 8 0 0 8 8 0 0 0 8 8 0 8 0 0 8 0 0 8 0 0 8 8 0 8 0 0 0 generates a code of length 79 over Z16 who´s minimum homogenous weight is 68. Homogenous weight enumerator: w(x)=1x^0+141x^68+4x^69+224x^70+32x^71+554x^72+84x^73+624x^74+328x^75+1103x^76+1440x^77+2474x^78+2344x^79+2599x^80+1472x^81+1090x^82+344x^83+651x^84+60x^85+316x^86+24x^87+236x^88+12x^89+108x^90+65x^92+26x^94+15x^96+2x^98+8x^100+2x^104+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 10.5 seconds.