The generator matrix 1 0 1 1 1 14 1 8 1 1 10 1 1 1 1 4 1 14 1 1 10 1 12 1 1 6 1 10 1 1 1 1 0 1 1 12 1 1 14 1 1 1 1 1 1 1 0 1 14 1 1 1 8 1 1 1 12 1 1 1 10 8 1 12 1 12 1 1 1 4 1 14 1 8 8 1 0 1 1 10 2 1 1 2 4 1 0 1 1 0 7 1 2 1 3 2 1 13 8 6 3 1 13 1 1 10 1 7 1 0 12 1 15 1 0 9 15 12 1 6 1 1 0 9 1 8 15 3 6 0 6 15 1 9 1 12 2 6 1 8 7 11 1 0 9 14 1 1 8 1 14 1 1 15 12 2 13 1 15 1 2 15 12 0 15 1 10 14 13 1 2 0 0 0 2 0 2 4 0 2 14 8 14 14 6 14 8 2 8 6 4 10 0 0 4 2 2 6 14 4 8 14 10 4 4 4 6 6 2 0 2 2 0 0 2 4 6 6 8 0 4 12 0 8 8 14 12 2 6 2 4 12 12 6 8 12 10 10 12 2 14 2 6 2 0 12 12 14 2 0 2 4 6 0 6 4 8 8 0 0 0 2 0 0 10 6 14 12 14 2 10 6 8 0 4 4 6 12 6 2 2 12 12 14 8 14 14 0 14 8 0 2 6 6 14 6 12 10 6 10 10 0 8 12 2 4 2 2 8 10 10 4 0 6 14 10 8 12 12 8 14 14 10 4 6 2 8 12 4 8 14 6 6 14 6 12 12 2 0 2 6 12 14 8 0 0 0 0 8 8 8 0 0 8 8 8 0 8 0 8 8 0 0 8 0 8 8 0 8 0 0 0 8 8 8 0 0 8 0 8 8 8 8 0 8 0 8 8 0 0 8 0 8 0 8 0 0 0 8 0 0 8 0 0 8 0 0 0 0 8 8 0 8 0 8 8 0 8 0 8 8 0 0 8 0 0 0 0 0 0 generates a code of length 86 over Z16 who´s minimum homogenous weight is 78. Homogenous weight enumerator: w(x)=1x^0+102x^78+382x^79+1012x^80+1414x^81+1885x^82+2830x^83+3399x^84+3644x^85+4024x^86+3520x^87+3368x^88+2536x^89+1841x^90+1256x^91+643x^92+348x^93+246x^94+120x^95+71x^96+50x^97+24x^98+16x^99+13x^100+8x^101+6x^102+2x^103+1x^104+2x^107+3x^108+1x^112 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 18.1 seconds.