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 0 2 12 1 2 8 4 2 4 8 1 1 12 4 1 1 2 1 1 2 2 2 12 1 2 1 1 4 1 2 1 2 4 2 1 1 1 0 1 4 1 12 4 1 1 1 1 4 12 1 0 2 0 0 0 2 6 14 0 8 0 2 6 12 14 2 8 14 4 14 10 4 2 4 12 8 2 10 12 2 12 14 2 6 8 10 8 2 12 4 6 10 4 4 0 2 4 14 4 2 2 6 2 2 12 4 14 4 10 2 2 2 6 0 2 8 12 10 12 2 2 2 2 12 2 2 2 4 2 2 4 6 12 14 8 0 8 0 0 2 0 2 2 2 0 4 14 8 0 8 14 10 10 2 6 8 4 12 6 10 4 0 4 10 8 10 12 2 0 6 6 6 2 2 6 0 2 2 8 2 0 6 2 2 12 12 2 4 6 2 4 8 0 10 14 6 0 6 12 6 14 12 4 4 4 6 12 14 8 8 12 0 0 6 0 10 12 2 0 10 12 2 2 2 0 0 0 2 2 0 2 10 8 2 14 14 4 12 14 12 6 4 14 2 8 0 10 12 4 14 10 10 4 4 14 6 4 2 10 4 12 0 10 12 4 6 6 2 6 14 8 8 0 2 14 6 6 12 10 0 6 8 8 8 14 4 6 0 8 6 2 12 10 2 8 4 8 6 12 8 2 8 4 2 14 0 14 0 12 12 8 0 0 0 0 8 0 0 0 0 0 0 0 0 0 0 0 8 8 8 8 8 8 0 8 8 8 8 8 8 8 0 8 8 8 0 8 8 8 0 0 0 8 8 8 0 8 8 8 0 0 0 0 8 8 0 8 8 0 8 0 0 0 8 8 0 0 0 0 0 8 8 0 0 0 8 8 0 0 0 0 0 8 8 0 8 0 8 0 0 0 0 0 8 0 8 8 8 8 0 8 8 8 0 8 8 0 8 0 8 8 0 8 8 8 8 0 8 0 0 8 0 0 0 0 0 8 8 8 8 8 8 8 0 8 8 0 0 8 8 8 0 0 0 8 8 0 0 0 8 0 0 0 0 0 8 0 0 8 0 8 8 8 8 8 8 8 8 8 8 8 0 0 0 0 generates a code of length 87 over Z16 who´s minimum homogenous weight is 78. Homogenous weight enumerator: w(x)=1x^0+187x^78+386x^79+791x^80+946x^81+1554x^82+1814x^83+2617x^84+2574x^85+3931x^86+3556x^87+4002x^88+2620x^89+2407x^90+1634x^91+1372x^92+822x^93+644x^94+320x^95+250x^96+130x^97+95x^98+32x^99+47x^100+10x^101+13x^102+2x^103+8x^104+2x^109+1x^118 The gray image is a code over GF(2) with n=696, k=15 and d=312. This code was found by Heurico 1.16 in 26.9 seconds.