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 1 1 1 1 1 2 1 1 1 2 4 2 4 2 4 2 4 4 1 1 1 2 1 1 0 1 2 1 0 4 4 2 8 1 0 1 1 4 1 2 1 2 1 1 0 12 0 0 0 0 0 0 0 12 12 4 4 4 4 4 0 12 4 8 8 12 4 0 4 4 4 4 8 8 0 4 4 12 0 4 12 4 12 0 0 12 0 8 8 8 8 12 8 4 0 0 12 12 12 12 8 0 4 8 4 8 4 8 8 8 8 8 12 0 4 8 0 12 12 4 12 8 0 4 0 0 0 12 0 0 0 4 12 4 4 12 8 4 8 8 4 0 4 0 12 8 0 8 4 12 4 12 12 8 12 0 4 0 0 8 0 0 4 4 8 4 4 4 4 4 0 8 8 8 0 4 12 8 8 8 0 12 8 12 8 4 0 0 12 8 4 4 4 4 4 0 0 0 0 12 0 0 12 0 4 0 0 0 0 12 0 4 4 12 0 8 12 12 12 12 8 0 12 0 0 4 0 12 12 4 12 8 8 4 12 8 0 4 8 12 0 0 4 4 8 12 0 0 8 4 12 12 12 12 0 4 12 0 12 0 0 0 4 8 8 0 12 8 0 12 12 8 4 12 12 12 8 8 4 4 8 0 0 12 4 4 0 0 0 0 0 12 4 0 12 4 12 8 4 12 8 12 0 4 4 0 8 4 4 4 4 8 8 8 8 0 12 0 12 0 8 8 4 8 12 4 8 0 8 12 4 0 4 0 4 12 0 8 8 4 0 8 4 4 0 8 8 8 4 0 0 4 8 12 4 0 0 0 4 0 12 8 12 8 0 4 4 0 0 0 0 0 0 8 0 0 8 8 0 8 0 0 8 8 0 0 0 8 8 8 0 8 8 0 8 0 8 0 8 8 0 0 0 0 0 0 8 8 0 0 8 8 8 0 8 8 8 8 0 8 0 0 8 0 0 0 8 0 0 8 0 0 0 8 0 8 0 8 8 8 0 0 0 0 8 0 0 0 0 0 0 0 0 0 0 8 0 8 8 8 0 0 0 8 8 0 8 8 8 0 8 8 8 8 0 0 0 8 0 8 0 0 0 8 8 8 0 0 0 0 8 8 0 0 0 8 8 0 0 8 8 8 0 0 8 0 8 0 0 8 0 8 8 8 8 8 0 8 0 8 8 8 8 8 0 8 0 0 8 0 0 0 0 0 0 0 0 8 0 0 0 0 8 0 0 8 8 8 0 8 0 0 8 0 8 0 8 0 8 0 0 8 8 8 8 0 8 0 8 0 8 8 8 8 0 0 0 8 8 0 0 8 8 8 0 8 0 0 0 8 8 0 8 8 8 0 0 8 8 0 0 8 8 8 0 8 0 0 8 8 0 generates a code of length 81 over Z16 who´s minimum homogenous weight is 68. Homogenous weight enumerator: w(x)=1x^0+52x^68+72x^69+172x^70+228x^71+313x^72+346x^73+510x^74+734x^75+1171x^76+1416x^77+2349x^78+3404x^79+3534x^80+4124x^81+3798x^82+3206x^83+2478x^84+1594x^85+1003x^86+632x^87+444x^88+282x^89+277x^90+198x^91+149x^92+84x^93+63x^94+40x^95+43x^96+16x^97+14x^98+6x^99+6x^100+2x^101+4x^102+1x^104+1x^106+1x^118 The gray image is a code over GF(2) with n=648, k=15 and d=272. This code was found by Heurico 1.16 in 37.7 seconds.