The generator matrix

 1  0  0  1  1  1  8  1  1 14  6  1  1  2  1  8  1  1 12  1 14  6 10  1  1  1  0  1 12 10  1  1  1  1 10  1  6 14  1  1  0  1  4  4  1  1  1 12  1  2  1  1 10  1  1  4  1  1  2  2 10  1  1  1
 0  1  0  4 13  5  1 12  4  4  1  3 15  1 14  1 10  3  1 13  2  1  1 14  7  6  2  1  1  1 15  2 13 11  1  8  8  1 13  3  1  1  0  1  2  8  2  1  6  2  0  9  1  0  3  6 15  7  6  1  1 10 14  0
 0  0  1  7 15 12  5  2  1  1  0 12  5  9  8  7  3 14 10  9  1 15  6  2  3  1  1  4  6  5 12  5 13  2 12  4  1 11  6 13  9 11  1  7 14 10  7 12 12  1  7  6  2  9 11  1  0 12  6  6 12  4  6  0
 0  0  0  8  8  8  0  8  0  8  8  0  0  8  8  8  0  8  0  8  0  0  8  8  8  8  0  0  8  0  8  0  0  0  0  8  0  8  0  8  8  0  8  0  0  0  8  8  0  8  8  8  8  8  8  8  8  0  8  0  8  8  0  8

generates a code of length 64 over Z16 who´s minimum homogenous weight is 59.

Homogenous weight enumerator: w(x)=1x^0+40x^59+682x^60+794x^61+1309x^62+968x^63+1342x^64+688x^65+982x^66+452x^67+404x^68+174x^69+201x^70+60x^71+47x^72+24x^73+20x^74+4x^76

The gray image is a code over GF(2) with n=512, k=13 and d=236.
This code was found by Heurico 1.16 in 0.782 seconds.