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 2 1 2 1 1 1 1 1 1 1 1 2 2 1 2 1 1 1 4 1 1 1 2 0 1 1 2 1 1 1 4 1 4 8 1 1 2 1 2 4 1 1 1 2 1 1 1 8 2 1 0 2 1 1 4 1 0 12 0 0 0 0 0 0 0 4 12 12 4 8 4 8 4 12 12 0 8 12 12 4 0 4 12 4 0 0 4 8 8 4 12 0 12 4 4 4 8 0 8 12 12 8 4 12 0 0 8 8 0 4 4 0 12 4 4 0 0 8 12 12 8 8 4 0 8 0 0 4 8 4 0 4 8 8 12 8 8 12 0 0 0 4 0 0 0 0 12 0 0 0 4 12 12 4 4 0 8 0 4 8 8 8 4 4 12 12 8 4 12 8 12 0 8 0 4 12 8 0 8 4 4 12 12 8 4 8 8 4 8 8 8 4 4 12 8 0 4 8 4 0 8 8 4 12 8 4 8 8 4 8 12 12 8 8 12 12 4 4 8 8 12 8 8 4 0 12 0 12 12 0 8 0 0 0 0 12 0 4 4 4 0 8 0 8 12 0 4 12 8 12 12 8 4 12 8 8 12 4 0 12 12 0 12 8 12 12 0 8 4 12 4 0 0 12 0 4 0 0 8 12 12 8 4 0 4 12 4 4 12 12 4 12 0 0 12 4 4 4 0 0 8 4 4 12 12 8 8 4 4 0 4 8 12 12 8 12 4 0 12 0 0 0 0 0 12 4 8 4 4 0 4 4 0 0 12 8 8 4 0 8 12 8 4 0 8 0 4 12 12 12 4 4 0 4 0 4 4 0 4 12 0 4 8 8 0 12 12 4 8 12 12 8 4 8 4 0 8 4 12 8 8 8 12 8 4 4 4 0 12 0 0 12 12 12 8 0 4 4 12 12 4 8 4 8 12 12 4 0 0 0 0 0 0 8 8 0 8 8 8 0 8 8 8 8 8 0 8 8 8 0 8 0 0 0 0 8 0 8 0 0 8 0 8 8 0 8 8 0 0 0 0 0 0 8 8 0 0 0 0 8 0 0 8 0 8 8 0 8 0 8 8 8 0 8 8 8 0 8 0 8 8 8 8 0 8 0 8 0 8 8 0 8 0 8 8 0 generates a code of length 88 over Z16 who´s minimum homogenous weight is 78. Homogenous weight enumerator: w(x)=1x^0+38x^78+66x^79+107x^80+180x^81+192x^82+274x^83+401x^84+498x^85+840x^86+1080x^87+1056x^88+1026x^89+796x^90+538x^91+364x^92+198x^93+122x^94+108x^95+70x^96+54x^97+32x^98+36x^99+33x^100+24x^101+23x^102+10x^103+14x^104+4x^105+4x^106+2x^108+1x^134 The gray image is a code over GF(2) with n=704, k=13 and d=312. This code was found by Heurico 1.16 in 3.02 seconds.