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 1 1 2 2 2 2 1 1 2 1 1 1 1 2 1 1 4 4 1 2 1 1 1 4 1 4 1 2 8 1 1 4 0 4 2 4 1 2 4 0 1 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 12 4 4 12 4 12 12 12 12 0 4 8 0 4 12 12 0 12 12 12 8 12 12 4 8 8 4 0 0 12 0 12 4 8 4 4 0 8 4 4 12 4 0 8 12 8 0 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 12 0 8 0 8 8 4 0 4 12 12 4 4 4 0 8 4 12 12 8 12 0 12 4 8 4 8 4 0 12 12 8 0 8 8 8 0 0 0 8 0 12 4 0 8 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 12 8 8 12 4 0 12 4 0 0 8 0 8 12 4 12 4 0 0 0 12 0 8 8 0 4 4 0 0 0 0 12 12 4 8 8 12 0 0 0 12 4 8 4 8 4 12 4 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 0 8 0 12 8 0 12 8 12 0 4 4 12 12 8 4 8 12 8 8 8 12 0 8 4 8 8 4 0 8 12 12 4 0 4 0 12 12 4 0 0 0 12 8 12 12 4 4 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 12 4 4 4 4 0 12 0 12 12 8 12 8 4 4 8 0 0 12 8 4 8 8 8 0 8 8 12 8 0 12 8 12 0 0 12 12 0 4 8 0 8 0 8 0 0 12 4 generates a code of length 89 over Z16 who´s minimum homogenous weight is 78. Homogenous weight enumerator: w(x)=1x^0+62x^78+120x^79+171x^80+220x^81+300x^82+456x^83+591x^84+776x^85+1221x^86+1506x^87+1797x^88+2160x^89+1879x^90+1538x^91+1151x^92+680x^93+470x^94+332x^95+227x^96+178x^97+159x^98+116x^99+68x^100+70x^101+56x^102+26x^103+24x^104+10x^105+10x^106+2x^107+2x^108+2x^109+2x^110+1x^126 The gray image is a code over GF(2) with n=712, k=14 and d=312. This code was found by Heurico 1.16 in 11.5 seconds.