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 2 1 2 2 2 2 2 1 2 1 1 4 8 4 1 1 1 1 4 2 2 0 1 1 1 4 2 2 2 1 1 1 1 2 1 8 1 2 2 4 8 1 4 1 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 12 0 8 0 4 4 12 0 4 0 8 4 4 4 12 0 4 8 12 12 12 4 4 4 12 8 8 8 8 4 12 0 4 4 0 4 12 0 4 8 4 4 4 0 0 0 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 0 8 4 12 4 12 8 12 4 4 8 4 12 4 8 12 12 8 0 0 8 0 12 4 12 4 4 12 4 0 8 8 8 12 0 12 0 12 8 4 4 4 4 4 8 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 0 8 0 0 8 0 8 0 8 8 8 8 8 0 0 8 8 0 0 8 0 0 0 0 8 8 8 8 0 0 8 0 0 0 8 8 8 0 8 0 8 0 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 8 8 0 0 8 0 8 0 0 0 8 0 8 8 8 0 0 8 8 8 0 0 8 0 8 0 0 0 0 8 0 8 8 8 0 0 0 8 0 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 0 8 8 0 0 0 8 0 0 0 0 8 8 0 0 8 0 0 8 8 0 8 0 0 0 8 8 8 0 8 8 0 8 0 0 8 0 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 8 8 8 8 0 0 8 0 0 8 0 8 8 8 8 8 0 0 0 8 0 0 0 0 8 0 8 8 0 8 0 8 8 0 0 8 0 8 8 8 0 8 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 8 0 8 0 0 8 0 0 8 8 0 8 8 8 0 8 0 8 8 8 8 0 0 8 0 8 8 8 0 8 0 0 8 0 0 0 8 0 8 8 0 8 0 0 0 8 8 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 8 0 8 0 8 8 0 8 8 8 0 0 0 8 0 0 0 0 8 0 8 0 8 0 8 0 8 0 8 8 8 8 8 0 8 8 8 8 8 8 0 0 8 0 8 0 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 8 0 0 8 0 8 8 0 0 8 8 8 8 8 0 0 8 0 0 8 8 8 0 0 8 0 0 8 8 0 0 0 8 8 8 8 0 8 8 0 0 0 0 8 0 8 0 generates a code of length 82 over Z16 who´s minimum homogenous weight is 68. Homogenous weight enumerator: w(x)=1x^0+43x^68+28x^69+145x^70+152x^71+221x^72+264x^73+332x^74+484x^75+657x^76+792x^77+2175x^78+1048x^79+5269x^80+1338x^81+7009x^82+1366x^83+5173x^84+1084x^85+2215x^86+728x^87+667x^88+444x^89+251x^90+240x^91+177x^92+128x^93+107x^94+72x^95+58x^96+18x^97+39x^98+6x^99+12x^100+12x^102+8x^104+1x^106+2x^108+2x^110 The gray image is a code over GF(2) with n=656, k=15 and d=272. This code was found by Heurico 1.16 in 38.9 seconds.