The generator matrix 1 0 1 1 1 6 1 12 1 1 10 1 1 0 1 6 1 1 1 1 12 1 1 10 1 1 1 1 8 2 4 1 10 1 1 1 1 4 1 1 2 1 14 1 1 1 1 8 1 4 0 6 1 1 1 0 1 1 14 1 1 1 1 1 1 1 1 1 1 10 1 1 14 14 1 1 1 8 1 1 1 0 1 11 6 13 1 7 1 8 1 1 14 4 1 13 1 2 11 7 2 1 1 8 1 6 13 11 12 1 1 1 6 1 5 12 3 5 1 3 6 1 12 1 9 4 11 8 1 13 1 1 1 0 1 10 1 9 6 1 15 8 1 7 1 6 6 11 12 7 1 9 11 1 1 10 10 9 1 13 11 5 0 0 12 0 4 0 4 0 4 4 0 4 4 12 8 12 8 8 0 12 12 0 0 12 0 12 12 8 4 8 12 12 12 8 12 4 4 0 0 12 0 12 12 0 0 8 8 8 12 0 12 8 4 8 8 0 4 8 8 4 12 4 0 4 0 8 0 0 0 8 0 12 8 4 12 0 12 12 12 0 0 0 0 0 12 0 0 0 0 8 8 0 8 0 12 12 4 12 12 12 8 12 12 4 4 8 8 8 8 8 12 8 12 8 0 4 12 4 12 8 4 12 12 0 0 4 0 4 12 12 4 0 8 4 8 8 8 4 0 8 12 4 8 4 12 8 12 4 12 12 0 8 0 8 8 4 0 12 8 0 12 8 0 0 0 0 8 0 0 0 0 0 8 8 8 0 8 0 0 8 0 0 0 8 8 8 8 8 8 0 8 0 0 8 0 0 0 8 8 8 8 0 0 0 0 8 8 8 0 0 0 0 8 0 8 8 0 8 0 0 0 0 8 8 0 8 0 8 0 0 8 0 8 0 8 8 0 8 8 8 8 0 0 0 0 0 0 0 8 0 0 0 8 8 8 8 0 8 0 8 0 8 8 8 0 0 8 8 8 0 8 8 8 0 0 0 0 0 0 0 8 0 8 0 0 8 8 8 0 0 8 8 0 0 0 8 8 8 0 0 8 8 0 0 8 8 8 0 0 8 8 8 8 0 8 0 0 8 0 8 0 8 8 8 0 0 0 0 0 0 8 8 8 8 0 0 8 8 0 0 8 0 8 0 8 8 0 0 8 0 8 8 8 0 8 8 0 0 0 0 8 0 0 8 0 8 8 8 0 8 8 8 0 8 8 8 8 0 0 0 0 8 8 8 0 8 8 8 8 8 0 8 8 8 0 8 8 8 0 8 8 0 8 0 0 generates a code of length 81 over Z16 who´s minimum homogenous weight is 72. Homogenous weight enumerator: w(x)=1x^0+110x^72+88x^73+459x^74+476x^75+1265x^76+1672x^77+2730x^78+3300x^79+4258x^80+4288x^81+4191x^82+3300x^83+2661x^84+1672x^85+1166x^86+476x^87+328x^88+88x^89+107x^90+53x^92+36x^94+21x^96+11x^98+5x^100+4x^102+2x^112 The gray image is a code over GF(2) with n=648, k=15 and d=288. This code was found by Heurico 1.16 in 19.2 seconds.