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 2 2 2 2 1 2 1 1 2 2 1 1 2 1 4 1 8 4 1 2 1 1 4 2 1 1 2 2 1 1 1 4 0 1 2 8 1 1 2 2 2 1 2 4 2 1 4 2 2 1 0 12 0 4 0 0 4 12 0 0 12 12 0 8 12 8 12 0 4 12 12 0 8 4 8 8 12 12 4 0 12 4 8 4 4 0 12 8 0 4 0 12 12 0 0 4 8 8 12 0 4 0 4 12 4 4 4 4 0 4 8 0 4 12 0 8 8 12 4 4 12 4 12 0 4 8 8 4 8 12 4 0 4 4 12 0 0 0 12 4 0 12 4 0 0 12 12 8 8 12 4 4 0 8 4 0 4 4 8 4 4 8 0 0 0 12 12 4 12 8 12 8 0 4 12 4 0 0 8 8 12 4 4 12 8 0 12 0 4 0 12 12 8 4 12 12 0 8 8 8 0 8 4 8 8 0 12 4 8 12 0 12 12 0 12 0 0 8 4 4 0 0 0 0 0 8 0 0 0 0 0 0 0 0 0 0 8 0 0 0 0 8 0 8 8 8 8 8 0 0 0 8 0 8 8 8 0 8 0 0 0 8 0 8 8 0 8 8 8 0 8 8 8 0 0 8 8 8 8 8 8 8 0 0 8 0 8 8 8 0 8 8 8 0 0 8 8 0 0 0 8 8 8 0 0 8 0 0 0 0 0 0 8 0 0 0 0 0 0 8 0 0 8 8 8 8 0 8 8 0 8 8 0 8 0 8 8 0 8 0 8 8 8 8 8 8 0 8 0 8 8 0 8 0 0 8 0 8 0 0 0 8 8 0 8 8 0 8 8 8 0 0 8 8 8 8 0 0 0 8 0 0 0 0 0 8 0 8 8 0 8 8 8 0 0 0 0 0 0 8 0 0 0 0 0 0 0 8 0 0 8 8 0 8 0 8 8 0 8 8 0 0 8 0 0 0 8 8 8 0 0 8 8 8 8 8 0 8 8 0 8 0 8 8 0 8 0 0 8 0 0 0 8 8 8 8 0 0 0 0 0 0 8 0 8 8 8 8 8 0 0 0 0 0 8 8 0 8 0 0 0 0 0 0 0 0 8 0 0 0 8 0 0 0 0 0 0 0 8 8 8 8 8 0 8 8 0 0 0 8 8 0 8 8 8 8 8 0 0 0 0 0 8 0 8 0 0 8 8 0 8 8 0 8 8 8 0 8 0 0 8 0 8 8 0 0 0 0 0 0 8 0 8 0 8 0 8 8 0 0 8 8 8 0 8 0 0 0 0 0 0 0 0 8 0 0 8 0 8 8 0 0 0 8 8 8 0 0 8 8 0 0 0 8 8 8 0 0 8 0 0 0 8 8 0 0 8 8 0 8 8 8 0 8 0 8 0 8 8 8 8 0 0 0 8 0 0 0 8 0 8 8 8 0 8 8 0 8 0 0 0 0 8 0 0 8 0 8 0 0 8 0 0 0 0 0 0 0 0 0 8 0 0 0 8 0 0 0 0 0 0 0 0 0 0 0 0 8 8 8 8 8 8 8 8 8 8 0 8 8 0 8 8 8 8 0 8 0 8 0 0 8 0 0 8 0 8 8 0 8 8 0 0 8 8 8 8 0 0 8 8 8 0 0 0 0 8 0 8 0 8 0 0 8 8 8 8 0 0 0 0 0 0 0 0 0 0 8 0 0 0 0 0 8 0 0 8 0 8 8 8 8 0 8 8 8 8 0 8 8 8 8 0 0 8 0 8 0 0 0 0 8 0 0 8 0 8 8 8 8 8 8 8 0 0 8 0 8 0 8 0 0 0 0 0 8 8 0 8 8 0 0 0 0 8 0 0 0 0 0 8 8 0 0 generates a code of length 86 over Z16 who´s minimum homogenous weight is 72. Homogenous weight enumerator: w(x)=1x^0+86x^72+22x^73+150x^74+136x^75+269x^76+246x^77+425x^78+462x^79+700x^80+858x^81+1538x^82+2292x^83+3025x^84+4212x^85+3998x^86+4156x^87+3175x^88+2282x^89+1513x^90+880x^91+619x^92+430x^93+346x^94+230x^95+226x^96+118x^97+157x^98+36x^99+67x^100+24x^101+46x^102+19x^104+13x^106+4x^108+1x^110+1x^112+5x^114 The gray image is a code over GF(2) with n=688, k=15 and d=288. This code was found by Heurico 1.16 in 41.8 seconds.