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 2 0 2 1 8 1 1 2 12 1 1 1 8 1 1 2 1 1 1 1 1 2 1 2 8 1 1 1 1 12 1 1 1 1 1 4 12 1 0 1 1 1 0 1 2 12 2 1 12 1 2 0 2 0 2 0 6 0 6 8 2 4 6 4 14 4 12 10 2 0 6 4 10 14 12 12 6 6 2 14 2 2 4 2 6 2 14 12 8 2 14 6 2 8 12 10 6 0 6 0 10 2 10 12 6 4 2 8 8 8 8 6 2 2 8 2 0 10 8 2 6 8 2 10 14 2 4 6 2 12 0 0 12 0 0 0 12 0 12 0 4 0 8 0 0 0 8 4 4 4 12 8 4 4 0 8 12 12 8 8 12 0 12 4 4 0 4 8 4 4 4 12 0 12 12 12 4 4 0 8 4 8 8 12 0 0 0 4 4 4 8 8 8 12 12 12 4 0 4 4 4 4 12 4 4 8 8 0 0 0 12 0 0 0 4 8 4 8 8 8 8 4 0 12 4 12 0 0 4 12 8 8 8 12 12 12 4 0 12 12 4 0 8 4 12 12 0 0 4 12 0 4 0 12 0 0 0 4 8 12 0 12 8 12 8 0 8 12 0 12 8 4 8 4 12 8 4 8 8 8 8 8 4 8 0 0 0 0 12 0 4 8 0 4 4 12 8 4 12 12 4 0 12 4 8 4 8 12 8 0 4 4 8 0 0 4 8 12 12 12 4 12 0 8 8 4 8 0 12 12 12 12 4 12 0 0 0 12 8 4 0 4 12 0 4 0 4 12 0 8 12 12 0 8 12 12 8 12 4 12 0 0 0 0 0 0 8 0 8 8 0 8 8 8 8 8 0 0 0 0 8 8 8 0 0 0 8 8 8 8 0 0 0 0 0 8 8 0 8 8 0 8 8 0 8 8 0 0 8 0 0 8 0 8 8 8 8 0 0 0 8 0 8 8 0 0 8 8 8 8 8 0 8 0 0 8 8 8 generates a code of length 77 over Z16 who´s minimum homogenous weight is 68. Homogenous weight enumerator: w(x)=1x^0+132x^68+72x^69+392x^70+280x^71+712x^72+572x^73+1579x^74+996x^75+2926x^76+1232x^77+2894x^78+1032x^79+1461x^80+636x^81+614x^82+244x^83+321x^84+48x^85+98x^86+8x^87+60x^88+45x^90+11x^92+8x^94+6x^96+2x^98+1x^100+1x^108 The gray image is a code over GF(2) with n=616, k=14 and d=272. This code was found by Heurico 1.16 in 7.81 seconds.