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 2 1 1 1 1 1 1 1 2 1 2 1 1 1 2 1 1 1 4 1 4 1 4 1 1 1 0 1 2 2 1 2 8 0 1 4 1 4 0 2 2 1 1 0 12 0 4 0 0 4 12 8 12 0 12 0 12 8 12 8 8 4 4 12 12 0 0 12 4 0 8 4 8 0 12 0 8 4 12 0 0 12 12 0 8 0 12 4 12 8 8 4 12 8 0 8 12 12 0 12 4 8 4 0 4 4 0 4 12 0 0 8 8 12 12 12 4 12 4 4 8 8 8 0 0 4 4 12 8 0 0 12 4 0 12 4 8 4 4 0 0 0 4 4 8 4 8 12 8 12 8 8 4 8 8 8 12 4 8 12 4 0 4 4 0 0 12 4 8 0 4 8 0 12 0 4 0 8 0 12 12 8 0 8 8 12 12 0 4 4 12 8 12 0 8 4 4 0 4 0 8 12 0 12 4 8 8 4 12 12 4 4 12 12 12 0 0 0 8 0 0 0 0 0 8 8 0 8 0 8 8 8 0 0 0 8 8 8 8 8 8 8 0 0 0 8 8 0 0 0 0 0 0 0 0 0 8 0 8 8 8 0 8 8 0 8 0 8 8 8 8 8 8 0 8 8 8 0 8 0 0 0 0 8 8 8 0 8 0 8 0 8 8 0 0 8 0 8 0 0 8 0 0 0 0 8 0 0 8 8 8 8 0 0 8 8 8 0 0 0 8 0 0 0 0 8 0 8 8 8 8 8 8 0 0 0 0 0 0 0 0 8 8 8 8 0 8 8 0 8 8 0 8 8 0 0 8 0 0 8 8 8 0 0 0 8 8 0 0 8 0 8 8 0 0 0 8 0 8 8 0 8 8 8 8 0 8 0 0 0 0 0 8 0 0 8 0 8 8 0 8 0 0 8 8 8 8 8 8 8 0 8 0 0 0 0 8 8 8 0 0 0 0 8 8 8 8 8 0 0 0 8 8 0 8 0 8 8 0 0 0 0 8 8 0 0 8 0 0 0 8 8 0 0 8 0 0 8 8 8 8 0 0 0 0 8 0 8 0 8 8 8 8 0 0 0 0 0 0 8 0 0 0 8 0 8 8 8 8 8 0 8 0 0 8 8 8 8 8 8 0 8 0 8 0 8 8 0 8 8 8 0 8 8 0 8 0 8 0 8 0 0 8 0 8 0 8 0 0 8 8 8 8 8 0 8 8 8 0 8 0 0 8 8 0 8 8 0 0 8 8 0 0 0 8 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+48x^78+62x^79+96x^80+174x^81+203x^82+324x^83+430x^84+500x^85+566x^86+490x^87+414x^88+282x^89+152x^90+124x^91+58x^92+46x^93+24x^94+22x^95+17x^96+16x^97+20x^98+8x^100+6x^101+9x^102+2x^103+1x^114+1x^134 The gray image is a code over GF(2) with n=688, k=12 and d=312. This code was found by Heurico 1.16 in 1.22 seconds.