The generator matrix 1 0 1 1 1 6 1 1 12 1 10 1 1 8 1 1 14 1 1 1 2 1 1 0 1 1 4 1 1 2 8 1 1 1 1 6 1 10 14 2 0 1 1 0 4 1 2 1 1 1 1 1 1 2 1 1 1 1 1 1 14 1 1 2 0 1 11 6 13 1 8 7 1 1 1 10 3 1 12 5 1 14 4 9 1 6 11 1 2 8 1 9 3 1 1 5 10 15 4 1 14 1 1 1 1 12 12 1 1 7 1 5 11 4 14 13 6 1 1 1 5 13 2 1 1 3 11 12 0 0 12 0 4 0 4 4 8 4 0 0 8 4 8 8 4 4 12 8 4 0 12 0 12 12 12 0 8 4 4 8 0 8 4 0 4 0 4 0 8 0 8 12 4 12 8 8 4 0 4 4 4 12 0 12 4 4 4 0 12 4 12 0 0 0 0 8 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 8 0 8 0 8 0 0 8 0 8 0 0 0 8 8 8 0 0 8 8 8 0 0 0 0 0 8 8 8 8 0 0 8 0 0 0 0 8 0 0 0 8 8 8 0 0 0 8 8 8 8 0 0 0 8 8 8 0 8 8 0 0 8 0 8 8 0 0 0 8 0 8 8 8 8 0 0 0 0 8 8 8 0 8 0 0 8 8 0 0 0 0 8 0 0 8 0 0 0 0 0 0 8 0 8 0 8 8 8 8 8 8 8 8 0 8 0 0 8 0 0 0 8 0 8 0 8 8 0 0 0 8 0 8 0 0 0 8 0 8 0 0 8 8 0 8 0 8 0 0 0 8 8 8 8 0 8 8 0 0 8 generates a code of length 64 over Z16 who´s minimum homogenous weight is 58. Homogenous weight enumerator: w(x)=1x^0+118x^58+224x^59+486x^60+820x^61+677x^62+1396x^63+831x^64+1384x^65+644x^66+808x^67+436x^68+228x^69+85x^70+4x^71+24x^72+9x^74+9x^76+2x^78+3x^80+1x^82+1x^84+1x^88 The gray image is a code over GF(2) with n=512, k=13 and d=232. This code was found by Heurico 1.16 in 1.06 seconds.