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 2 1 2 1 8 1 1 4 1 1 1 1 2 1 1 1 1 1 0 0 1 1 2 1 8 4 1 1 4 1 2 1 1 1 1 1 2 2 1 12 2 4 8 1 0 2 0 2 0 0 6 14 4 4 10 6 12 4 14 2 0 10 8 10 10 4 14 6 8 0 14 2 2 14 12 2 12 8 2 6 2 0 12 8 12 10 14 2 2 2 0 0 12 14 14 12 2 10 2 12 2 2 4 8 2 14 10 6 8 2 12 14 2 4 0 0 0 2 2 12 6 6 4 4 2 6 0 0 14 2 12 8 6 10 0 2 8 0 4 12 6 14 10 4 12 10 2 14 12 10 6 10 4 6 14 14 8 2 2 8 0 2 14 12 2 4 2 4 10 12 2 10 10 14 4 4 14 6 0 14 4 2 12 4 4 0 0 0 0 8 0 0 8 0 0 0 8 0 8 8 0 8 8 0 8 0 8 0 8 8 8 8 0 0 8 8 8 0 0 8 8 8 0 8 8 0 8 8 0 0 0 8 8 0 0 8 0 8 0 0 0 8 8 0 0 8 0 0 0 0 8 8 8 0 8 8 0 0 0 0 0 8 0 8 0 8 8 0 8 8 8 8 0 0 0 0 8 8 0 0 8 8 8 8 0 8 0 0 0 8 0 0 8 0 8 0 0 0 0 8 8 0 8 8 8 0 0 8 0 0 0 8 8 8 8 0 0 8 0 0 0 8 8 8 0 0 0 0 0 0 0 0 0 8 0 8 8 0 8 8 0 8 0 0 8 0 8 0 8 8 8 0 8 0 8 0 8 8 0 8 8 0 8 8 8 0 0 0 8 0 8 0 8 8 8 8 0 0 0 0 0 0 0 0 0 8 0 8 8 8 8 0 0 0 8 8 8 0 8 generates a code of length 71 over Z16 who´s minimum homogenous weight is 64. Homogenous weight enumerator: w(x)=1x^0+53x^64+186x^65+414x^66+506x^67+666x^68+826x^69+987x^70+1224x^71+981x^72+740x^73+567x^74+348x^75+212x^76+148x^77+130x^78+88x^79+68x^80+18x^81+10x^82+10x^83+2x^84+2x^85+3x^86+1x^88+1x^106 The gray image is a code over GF(2) with n=568, k=13 and d=256. This code was found by Heurico 1.16 in 1.57 seconds.