The generator matrix 1 0 1 1 1 6 1 1 8 1 1 6 1 1 4 1 1 14 4 1 1 1 1 0 14 1 1 1 10 8 1 4 1 1 1 1 1 14 1 2 4 1 1 1 2 1 1 1 10 1 1 1 1 4 1 6 1 1 1 1 2 2 1 12 1 1 14 1 1 1 2 1 1 1 8 1 1 1 2 1 1 0 1 11 6 1 1 12 3 1 2 13 1 13 0 1 15 6 1 1 15 14 5 8 1 1 7 0 14 1 1 13 1 15 10 1 4 5 1 15 1 1 13 10 8 1 12 2 12 1 9 13 9 12 1 14 1 8 15 10 2 1 1 3 1 3 8 1 13 13 3 1 6 6 14 1 9 4 6 12 15 13 0 0 12 0 0 0 0 0 0 0 0 0 0 0 0 8 8 8 8 8 8 0 8 8 4 8 4 4 12 12 12 4 4 4 12 12 12 4 12 4 4 12 8 4 8 12 12 4 4 8 4 8 0 12 8 4 12 0 12 4 0 0 4 4 4 12 0 0 12 4 8 0 4 4 0 4 4 12 4 8 4 0 0 0 12 0 0 0 8 0 4 4 4 8 12 12 0 12 4 0 12 0 4 8 12 4 12 12 12 0 8 4 4 4 8 12 12 4 0 8 8 12 8 8 12 8 8 0 8 4 0 0 8 4 4 8 12 0 0 8 8 8 12 4 12 4 4 12 8 0 8 4 8 4 12 12 4 0 8 12 8 0 0 0 0 0 4 0 8 8 4 8 0 4 4 12 0 8 12 8 4 12 12 12 4 4 12 8 0 12 12 0 4 0 8 4 12 4 8 4 4 8 4 12 0 4 4 0 8 12 0 0 0 12 4 4 4 0 4 4 12 8 12 12 4 0 0 8 0 4 12 12 8 4 0 4 12 8 8 0 12 8 8 0 0 0 0 0 8 8 0 8 8 0 8 8 0 8 8 8 0 0 0 0 8 8 0 8 8 8 8 8 0 8 8 0 8 0 0 8 0 0 8 8 8 8 8 8 0 8 0 0 8 8 8 0 0 8 8 0 8 0 8 8 0 8 8 8 0 0 0 0 8 8 0 8 0 8 0 0 8 8 8 8 generates a code of length 81 over Z16 who´s minimum homogenous weight is 72. Homogenous weight enumerator: w(x)=1x^0+91x^72+148x^73+331x^74+694x^75+1103x^76+1818x^77+2586x^78+3370x^79+4170x^80+4436x^81+4088x^82+3316x^83+2550x^84+1784x^85+1054x^86+640x^87+264x^88+104x^89+40x^90+18x^91+45x^92+30x^93+23x^94+22x^95+23x^96+4x^98+4x^99+6x^100+3x^104+1x^106+1x^110 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 19.1 seconds.