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 0 2 1 1 1 1 2 1 4 1 8 1 1 1 1 1 2 4 1 1 1 2 2 8 1 0 2 1 1 1 1 1 12 1 1 2 0 0 2 1 0 2 12 1 1 2 2 2 2 1 1 1 2 4 0 2 0 2 0 0 6 6 4 4 10 6 12 4 14 2 4 4 10 12 4 14 6 2 10 12 0 4 2 14 6 0 8 14 0 8 2 4 10 12 2 14 2 2 8 10 12 2 10 2 14 14 14 10 14 12 0 2 0 14 8 14 10 6 2 10 6 10 2 8 2 8 2 14 2 8 10 12 12 0 12 2 14 14 2 2 0 0 2 2 12 6 6 0 12 2 14 12 0 6 10 4 10 12 6 14 8 6 0 4 8 4 2 10 10 10 4 8 2 4 6 6 10 8 6 0 12 0 12 14 6 0 4 4 6 2 4 14 14 8 4 2 0 14 14 0 2 4 14 6 6 8 4 6 6 2 2 8 8 8 10 0 8 10 6 14 2 0 8 0 12 2 0 0 0 8 0 0 0 0 8 0 0 8 8 0 8 8 8 8 0 8 8 8 0 8 8 0 8 8 8 0 0 0 8 0 8 8 8 8 8 8 8 0 8 8 8 8 0 0 8 8 8 0 8 0 8 0 0 0 0 0 0 0 8 0 8 0 8 8 0 0 8 8 0 8 0 8 0 8 0 8 8 0 8 8 0 8 0 0 0 0 8 0 0 8 0 8 8 0 0 8 8 8 0 8 0 0 8 0 0 8 0 8 8 8 8 8 8 0 0 0 0 8 0 0 0 8 0 0 0 8 0 8 8 0 8 8 8 0 0 8 8 0 0 0 8 0 8 8 8 8 0 8 0 0 8 8 8 8 8 0 0 0 0 0 0 8 0 0 8 8 0 0 0 0 0 0 0 8 0 0 0 8 8 8 8 0 8 8 0 0 8 8 8 8 8 0 0 8 0 8 0 0 8 8 8 8 8 0 0 0 8 8 0 8 8 8 0 0 0 0 0 8 8 8 8 0 0 0 0 0 0 0 0 0 0 8 8 8 0 0 0 8 8 0 0 0 8 0 8 0 0 8 0 8 8 0 8 0 0 0 0 0 0 0 8 0 8 0 8 8 8 0 0 8 8 8 8 8 8 0 0 8 8 0 8 8 0 8 0 0 8 0 0 0 8 0 8 0 0 8 8 8 0 0 8 8 8 0 0 0 8 8 0 0 8 8 8 0 8 8 8 0 0 0 0 0 0 8 8 0 0 8 0 0 8 8 8 0 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+173x^78+268x^79+566x^80+716x^81+1020x^82+1300x^83+1547x^84+1988x^85+1777x^86+1860x^87+1533x^88+1076x^89+904x^90+540x^91+340x^92+284x^93+157x^94+112x^95+87x^96+32x^97+50x^98+16x^99+17x^100+13x^102+4x^104+2x^106+1x^120 The gray image is a code over GF(2) with n=688, k=14 and d=312. This code was found by Heurico 1.16 in 8.73 seconds.