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 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 2 2 2 2 2 2 1 2 2 2 2 2 2 1 4 2 1 1 2 1 1 2 2 0 8 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 8 8 8 8 8 8 8 8 8 8 8 8 8 0 0 8 0 0 8 8 8 8 0 8 8 8 0 0 8 0 8 8 0 0 8 8 8 0 0 8 0 0 8 0 0 8 8 0 8 0 8 0 0 0 0 8 0 0 0 0 0 0 0 0 0 0 0 0 8 0 0 0 0 0 0 0 0 0 8 8 8 8 8 8 8 0 0 0 0 8 8 8 0 8 0 8 0 8 8 8 8 0 0 0 0 8 8 0 0 0 8 8 8 0 0 0 8 8 8 0 0 8 8 0 0 8 0 0 8 8 0 8 8 0 8 0 8 8 0 0 0 8 0 0 0 0 0 0 0 0 0 0 0 8 0 0 0 0 8 8 8 8 8 8 8 0 0 0 8 0 8 8 8 0 8 8 0 0 8 8 0 0 0 8 0 0 8 0 8 8 8 0 0 8 8 0 8 0 8 8 0 8 0 8 0 8 8 8 8 8 0 8 0 8 0 8 8 8 8 8 0 8 0 0 0 0 0 8 0 0 0 0 0 0 0 0 0 8 0 0 0 8 8 8 8 8 8 0 0 0 0 8 0 8 8 0 0 8 0 8 0 8 0 8 0 8 8 0 0 0 8 8 8 8 0 8 0 8 0 8 0 0 0 0 0 0 0 8 0 8 0 8 8 0 8 8 8 0 8 0 8 0 0 0 8 8 8 0 0 0 0 0 0 8 0 0 0 0 0 0 0 0 8 0 8 8 8 8 8 8 0 8 8 0 8 8 8 0 0 0 8 8 8 8 8 8 8 8 0 8 0 8 0 0 8 0 0 8 8 0 8 8 8 0 0 0 0 0 8 8 0 0 0 8 0 0 8 0 0 0 8 0 0 8 0 8 0 0 8 0 0 0 8 0 0 0 0 0 0 8 0 0 0 0 0 0 8 0 0 8 8 0 8 8 0 8 0 8 0 8 8 8 8 0 0 0 8 0 8 8 0 8 0 8 8 8 8 0 8 8 8 8 8 8 8 0 0 0 0 0 8 8 0 0 8 0 0 0 0 0 0 0 0 0 8 0 0 8 8 8 0 0 8 8 8 8 8 8 0 0 0 0 0 0 0 8 0 0 0 0 0 8 0 0 0 8 8 8 8 0 8 8 0 8 0 8 0 0 8 0 0 0 0 8 8 8 0 8 8 0 8 0 0 0 8 0 0 0 8 8 8 8 8 0 8 8 8 8 0 8 8 0 0 0 8 8 0 0 8 0 8 8 8 8 8 8 8 8 8 0 0 0 8 0 0 0 0 0 0 0 0 8 0 0 0 8 0 0 0 0 8 8 0 8 0 0 0 8 8 8 0 0 8 0 8 8 0 8 8 8 0 8 0 0 0 0 8 8 0 8 8 0 8 8 0 8 8 8 8 8 0 0 8 0 0 8 0 8 8 8 0 0 0 0 0 8 8 8 0 0 0 0 8 8 8 8 0 0 0 0 0 0 0 0 0 0 0 8 0 0 8 0 0 0 8 0 0 8 0 8 0 0 8 0 0 0 0 8 8 8 0 0 8 8 0 0 8 8 0 8 0 8 0 8 0 8 8 8 8 8 0 8 0 8 0 0 0 8 0 0 0 8 0 8 0 8 8 8 8 0 0 8 8 8 8 0 0 0 8 8 0 0 0 0 0 0 0 0 0 0 0 0 0 8 0 8 8 8 8 8 0 0 0 8 0 0 8 8 0 0 8 0 8 8 0 0 8 8 0 8 8 8 8 8 0 0 8 0 0 8 0 8 0 0 8 0 8 0 8 0 0 8 8 8 0 0 8 8 0 8 0 0 0 0 8 8 8 8 8 8 0 0 8 8 0 0 0 8 0 0 0 0 0 0 0 0 0 0 0 8 8 8 8 8 0 0 8 8 8 8 8 0 8 0 8 0 0 0 0 0 8 8 8 8 0 0 0 0 8 0 0 0 8 0 0 8 0 8 8 8 0 8 0 0 0 8 0 0 0 0 0 8 0 0 0 0 8 8 8 8 0 0 8 0 8 8 8 0 0 8 0 0 0 generates a code of length 85 over Z16 who´s minimum homogenous weight is 68. Homogenous weight enumerator: w(x)=1x^0+129x^68+406x^72+22x^74+593x^76+192x^78+986x^80+614x^82+5430x^84+16384x^85+4848x^86+1183x^88+386x^90+720x^92+80x^94+452x^96+2x^98+245x^100+74x^104+19x^108+1x^112+1x^136 The gray image is a code over GF(2) with n=680, k=15 and d=272. This code was found by Heurico 1.16 in 49.7 seconds.