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 2 2 2 1 2 2 1 1 2 2 1 2 1 1 2 2 4 1 2 1 1 1 1 2 8 2 4 1 1 1 1 4 1 4 2 0 2 0 1 1 1 1 1 0 1 4 4 4 1 0 12 0 0 0 0 0 0 0 0 8 4 12 12 8 0 12 12 4 4 8 4 0 12 12 4 4 4 12 8 8 4 12 8 4 12 8 0 0 0 4 4 0 12 12 0 8 8 0 4 8 4 0 12 8 8 12 8 4 12 12 12 4 0 8 8 12 0 8 0 0 12 4 8 4 8 4 0 4 4 0 0 0 12 0 12 12 0 0 0 12 0 0 0 0 0 0 0 12 8 4 12 4 4 4 12 0 8 12 12 4 4 12 8 0 12 0 4 12 0 8 0 8 12 4 4 12 8 8 0 12 0 8 0 0 4 4 4 8 12 8 12 12 0 8 4 12 12 4 4 0 4 8 4 12 0 8 12 8 8 12 12 4 8 4 12 8 8 8 8 4 4 8 0 8 0 0 0 0 12 0 0 8 12 12 4 4 12 8 12 12 0 8 12 12 8 0 8 12 12 12 0 4 0 4 4 8 0 12 0 8 8 4 8 0 4 12 4 8 12 0 12 4 0 0 12 12 8 8 12 4 0 12 12 4 8 0 8 8 8 0 8 4 8 8 12 12 8 12 8 0 8 4 12 0 4 4 0 0 0 8 0 8 0 0 0 0 0 12 0 12 12 4 8 0 0 0 0 8 0 12 4 4 12 4 0 4 12 0 12 12 12 8 12 4 0 8 0 12 8 4 8 8 0 12 8 12 0 12 12 8 4 0 0 4 8 12 12 8 12 0 12 4 0 12 8 0 8 4 4 12 0 0 8 4 0 0 8 0 8 8 12 4 4 8 8 12 4 8 8 4 8 0 0 0 0 0 12 4 8 4 4 0 0 0 0 4 4 0 8 4 4 0 4 12 12 12 8 8 12 4 0 12 4 4 8 0 8 0 0 12 8 12 0 4 12 12 12 4 12 12 4 8 4 8 4 8 12 8 0 8 0 4 4 4 12 12 12 12 4 8 4 0 12 12 0 12 12 4 0 8 0 12 12 4 0 4 0 4 0 generates a code of length 88 over Z16 who´s minimum homogenous weight is 77. Homogenous weight enumerator: w(x)=1x^0+46x^77+121x^78+184x^79+230x^80+296x^81+385x^82+612x^83+870x^84+1048x^85+1615x^86+2082x^87+1909x^88+1748x^89+1545x^90+1200x^91+822x^92+456x^93+304x^94+234x^95+180x^96+120x^97+96x^98+66x^99+61x^100+48x^101+28x^102+36x^103+20x^104+12x^105+2x^106+2x^107+2x^108+2x^109+1x^124 The gray image is a code over GF(2) with n=704, k=14 and d=308. This code was found by Heurico 1.16 in 11.4 seconds.