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 1 1 1 2 1 1 2 2 2 2 2 4 2 1 4 1 8 2 2 2 2 1 2 1 4 2 2 1 2 4 2 1 2 0 2 1 4 1 4 1 1 1 1 2 0 1 1 1 1 0 12 0 0 0 0 0 0 0 0 0 8 8 4 4 4 4 4 12 4 0 12 4 12 0 8 12 4 4 4 12 0 12 12 12 12 8 4 0 8 12 4 4 4 0 4 4 0 8 12 4 12 12 4 8 4 12 8 4 8 8 4 0 4 0 12 8 8 4 0 12 0 12 4 4 4 4 8 8 8 4 12 0 0 0 4 4 4 12 4 12 0 0 12 0 0 0 0 0 0 0 4 4 4 0 12 4 12 8 8 4 4 0 8 4 4 4 12 8 4 12 0 4 12 8 4 8 12 0 8 8 12 12 0 8 0 8 12 0 8 0 8 12 12 0 0 8 8 12 0 4 0 8 12 0 12 4 8 12 12 0 4 8 8 4 0 12 8 0 4 8 4 12 4 8 8 12 12 0 8 8 12 0 0 0 12 0 0 0 4 12 12 4 4 0 8 0 0 12 12 12 12 12 8 8 0 8 8 12 4 0 4 12 12 4 4 0 0 4 12 8 4 12 8 0 12 4 8 0 8 0 8 4 8 12 0 8 0 4 4 0 12 4 4 4 8 0 4 12 4 8 4 4 0 4 4 0 12 0 8 12 12 8 0 12 12 4 12 0 12 8 12 0 0 0 0 0 12 0 4 4 4 0 8 0 8 8 12 4 4 0 4 8 4 4 4 8 4 4 12 4 8 0 8 12 4 8 12 12 4 0 12 4 12 8 0 4 8 0 0 4 4 12 8 0 4 4 0 8 4 0 12 0 0 0 12 4 8 0 0 8 12 8 0 12 4 4 0 0 12 12 0 12 8 12 8 4 0 8 4 8 12 0 0 0 0 0 0 0 12 4 8 4 4 0 4 4 4 12 8 8 8 4 4 12 12 0 12 4 8 12 0 0 8 12 0 4 0 4 4 4 12 0 4 0 4 12 4 0 4 8 12 4 4 8 12 4 0 4 8 8 12 0 0 12 4 0 0 12 12 0 12 0 12 4 12 8 12 8 8 8 4 12 0 0 0 8 4 8 8 0 0 12 0 0 0 0 0 0 0 0 8 8 0 8 8 0 8 8 8 0 8 8 8 8 8 0 8 0 0 8 0 0 8 0 0 0 8 0 0 8 0 8 8 8 0 8 0 0 8 8 0 0 0 8 8 0 0 0 8 0 0 8 8 0 8 8 8 0 8 0 8 0 0 0 0 8 0 0 8 0 0 0 8 0 8 8 0 0 0 0 0 0 0 8 0 generates a code of length 91 over Z16 who´s minimum homogenous weight is 78. Homogenous weight enumerator: w(x)=1x^0+57x^78+100x^79+200x^80+278x^81+337x^82+418x^83+494x^84+720x^85+916x^86+1452x^87+2253x^88+3178x^89+3929x^90+4250x^91+4045x^92+3138x^93+2243x^94+1464x^95+858x^96+582x^97+466x^98+360x^99+257x^100+198x^101+179x^102+126x^103+72x^104+80x^105+56x^106+20x^107+8x^108+16x^109+8x^110+2x^111+4x^112+2x^113+1x^126 The gray image is a code over GF(2) with n=728, k=15 and d=312. This code was found by Heurico 1.16 in 44.1 seconds.