The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+292x^57+1083x^58+2014x^59+4139x^60+5076x^61+7478x^62+7640x^63+9676x^64+8502x^65+7942x^66+4826x^67+3474x^68+1590x^69+1042x^70+394x^71+186x^72+86x^73+35x^74+32x^75+11x^76+6x^77+4x^78+6x^79+1x^80

The gray image is a code over GF(2) with n=512, k=16 and d=228.
This code was found by Heurico 1.16 in 38.5 seconds.