The generator matrix

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

generates a code of length 64 over Z16 who´s minimum homogenous weight is 57.

Homogenous weight enumerator: w(x)=1x^0+52x^57+442x^58+1160x^59+1938x^60+2992x^61+3221x^62+4524x^63+4363x^64+4724x^65+3129x^66+2736x^67+1662x^68+968x^69+483x^70+204x^71+86x^72+32x^73+17x^74+16x^75+8x^76+4x^78+6x^80

The gray image is a code over GF(2) with n=512, k=15 and d=228.
This code was found by Heurico 1.16 in 9.92 seconds.