The generator matrix 1 0 1 1 1 6 1 1 8 1 1 14 1 4 1 10 1 1 2 1 1 12 1 1 1 1 0 1 6 1 1 1 2 1 4 12 1 2 1 1 10 1 1 1 1 8 1 1 12 1 1 2 0 1 1 4 1 4 1 1 6 2 1 1 1 12 2 1 0 1 11 6 13 1 0 3 1 14 5 1 12 1 7 1 2 9 1 10 1 1 4 15 10 13 1 0 1 2 3 5 1 15 1 1 3 1 12 0 1 8 10 11 0 1 6 7 1 13 11 1 1 14 5 4 3 1 0 2 1 2 3 5 1 1 0 0 0 0 12 0 4 0 12 0 4 12 8 4 8 12 12 0 12 8 12 8 4 0 4 8 0 4 8 0 8 12 8 0 12 0 12 0 8 12 0 0 8 4 0 12 0 12 8 4 8 4 12 12 0 12 8 4 4 8 0 0 0 4 4 0 4 0 8 0 0 0 0 8 0 0 0 0 0 0 8 8 0 8 8 8 8 0 8 0 8 0 0 0 8 8 8 8 0 8 8 8 8 0 8 8 0 0 0 8 0 0 8 0 8 0 8 8 8 0 8 8 8 0 8 0 0 8 8 0 0 8 0 0 8 8 8 0 0 0 0 0 8 0 0 0 0 8 0 8 8 8 0 8 0 0 8 0 8 8 8 0 8 0 0 8 8 8 8 0 0 0 0 0 8 0 0 0 8 0 8 8 8 8 8 0 8 0 0 0 0 0 8 8 0 0 8 8 8 0 0 8 0 8 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 8 0 8 0 8 8 8 8 8 0 0 8 0 8 0 8 8 8 0 0 0 0 8 8 8 0 0 0 8 0 8 0 0 0 8 8 8 8 8 0 8 0 8 8 0 0 0 0 0 0 0 8 0 8 8 0 0 0 8 0 0 8 0 0 0 8 8 8 8 0 0 8 8 8 0 0 0 8 8 0 0 8 8 8 8 0 0 0 0 8 8 0 8 0 0 0 8 0 0 8 0 8 8 0 8 8 0 8 0 8 8 0 0 0 0 0 0 0 0 0 8 8 0 8 0 0 8 0 0 0 8 0 0 8 8 8 0 8 8 8 0 0 0 0 8 0 8 0 0 8 0 0 8 8 0 0 8 8 0 8 8 8 8 8 0 8 8 8 8 8 0 8 8 8 8 0 8 0 0 0 0 generates a code of length 68 over Z16 who´s minimum homogenous weight is 58. Homogenous weight enumerator: w(x)=1x^0+33x^58+60x^59+143x^60+296x^61+620x^62+862x^63+2003x^64+2138x^65+3943x^66+3314x^67+5981x^68+3296x^69+4083x^70+2148x^71+1949x^72+860x^73+467x^74+256x^75+121x^76+56x^77+44x^78+14x^79+28x^80+10x^81+19x^82+2x^83+9x^84+5x^86+3x^88+2x^90+2x^92 The gray image is a code over GF(2) with n=544, k=15 and d=232. This code was found by Heurico 1.16 in 14.9 seconds.