The generator matrix 1 0 1 1 1 6 1 1 4 1 2 1 1 1 12 1 10 1 1 1 8 10 1 1 1 2 1 1 1 1 12 1 12 10 1 1 1 1 14 4 1 1 1 1 14 1 4 1 1 14 1 8 1 1 1 14 10 1 1 1 2 1 8 1 2 6 10 1 8 6 1 1 14 0 1 1 1 1 4 8 1 0 1 1 1 1 0 1 1 6 7 1 4 3 1 5 1 2 8 3 1 12 1 9 14 11 1 1 1 6 11 1 2 8 7 13 1 8 1 1 6 9 15 2 1 1 7 12 2 5 1 1 1 0 3 1 7 1 6 2 0 1 1 5 8 10 8 14 1 9 2 1 1 5 12 1 10 5 1 2 13 3 10 13 1 1 13 0 14 4 10 15 0 0 2 0 14 0 10 0 10 8 2 10 2 6 8 0 0 14 10 4 10 6 4 8 10 4 4 14 4 14 6 4 4 14 2 12 10 4 14 12 8 14 6 2 8 0 4 4 14 10 0 14 14 6 12 0 2 0 14 8 6 2 10 10 14 4 6 2 2 12 4 12 12 6 2 6 8 12 6 2 2 2 10 0 14 14 0 0 0 12 0 0 0 8 8 8 8 0 0 0 0 0 8 8 8 0 8 8 0 0 8 8 0 0 0 0 0 8 12 12 12 4 12 4 4 4 4 12 12 4 12 4 12 12 4 12 4 12 4 8 12 4 12 12 8 12 8 0 12 4 12 0 8 12 12 12 4 0 12 0 4 4 8 12 4 4 8 8 12 12 0 8 0 0 0 0 8 0 8 0 8 0 0 0 0 8 8 8 8 0 8 8 0 8 8 8 0 8 0 8 0 0 8 0 0 8 8 0 8 0 8 8 0 0 8 8 8 8 0 8 0 0 0 0 0 0 0 8 8 8 8 0 0 8 8 0 0 8 0 8 8 8 8 0 0 8 0 8 0 0 0 0 0 8 8 8 0 0 0 0 0 0 0 8 8 8 0 0 0 0 8 8 0 8 8 8 0 0 8 8 8 0 8 8 8 8 0 0 0 8 0 8 0 0 8 8 0 0 8 8 8 8 8 0 8 0 8 0 0 8 0 0 0 8 8 0 0 8 0 8 8 8 0 0 8 0 0 0 0 0 0 0 0 0 0 8 8 0 8 8 0 8 8 0 generates a code of length 86 over Z16 who´s minimum homogenous weight is 78. Homogenous weight enumerator: w(x)=1x^0+188x^78+304x^79+1016x^80+1284x^81+2203x^82+2424x^83+3535x^84+3360x^85+4333x^86+3740x^87+3517x^88+2272x^89+1913x^90+996x^91+786x^92+336x^93+251x^94+84x^95+78x^96+44x^97+56x^98+4x^99+18x^100+12x^102+4x^104+4x^106+5x^108 The gray image is a code over GF(2) with n=688, k=15 and d=312. This code was found by Heurico 1.16 in 19.5 seconds.