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 2 1 1 1 1 1 1 1 1 1 1 2 1 1 1 1 1 2 1 1 4 1 1 2 1 2 4 1 1 2 1 1 2 1 4 1 2 2 2 1 1 4 4 4 2 1 0 12 0 0 0 4 12 4 8 12 8 12 0 4 8 12 0 12 4 8 0 12 12 0 12 0 12 4 12 4 0 0 8 8 12 8 4 0 4 0 8 4 0 8 12 0 12 12 12 8 12 4 8 4 12 4 12 0 4 4 8 12 0 12 4 0 8 0 8 0 0 0 12 0 4 4 4 8 0 4 8 4 4 0 12 0 0 12 12 12 0 8 0 4 12 8 0 4 8 4 4 4 0 0 12 8 8 12 12 8 4 4 0 0 0 4 8 0 8 12 12 12 12 8 12 0 0 12 12 8 8 4 12 8 8 12 0 4 8 0 0 0 0 12 4 0 4 4 8 0 12 4 4 4 8 0 8 8 12 0 12 4 8 12 12 4 12 4 0 0 4 0 8 12 0 12 8 4 4 12 12 8 0 4 8 0 8 8 12 4 4 12 12 8 0 8 4 8 0 8 12 0 4 8 4 0 4 12 12 0 0 0 0 0 8 0 0 8 8 8 0 0 0 0 8 8 8 0 8 8 8 8 8 0 8 8 0 8 0 8 8 0 0 8 8 0 8 0 0 0 8 0 8 8 0 0 8 8 0 0 0 0 0 8 0 0 0 0 8 0 8 8 0 8 0 0 0 8 0 0 0 0 0 0 0 8 0 0 0 0 8 8 0 8 8 0 8 0 8 0 8 8 8 8 8 0 0 0 8 8 8 8 8 8 0 0 8 8 0 0 8 8 0 0 0 0 0 0 8 0 0 0 8 8 8 8 0 0 0 0 0 8 8 8 0 8 0 0 0 0 generates a code of length 70 over Z16 who´s minimum homogenous weight is 62. Homogenous weight enumerator: w(x)=1x^0+33x^62+54x^63+104x^64+136x^65+221x^66+310x^67+289x^68+562x^69+809x^70+552x^71+286x^72+274x^73+170x^74+82x^75+52x^76+24x^77+40x^78+22x^79+23x^80+18x^81+4x^82+4x^83+11x^84+10x^85+2x^86+2x^88+1x^106 The gray image is a code over GF(2) with n=560, k=12 and d=248. This code was found by Heurico 1.16 in 0.748 seconds.