The generator matrix

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

generates a code of length 64 over Z16 who´s minimum homogenous weight is 56.

Homogenous weight enumerator: w(x)=1x^0+58x^56+732x^57+2346x^58+4284x^59+7469x^60+9868x^61+14576x^62+16604x^63+19073x^64+16964x^65+14880x^66+10136x^67+6990x^68+3728x^69+1970x^70+788x^71+384x^72+96x^73+60x^74+28x^75+25x^76+4x^77+6x^78+2x^82

The gray image is a code over GF(2) with n=512, k=17 and d=224.
This code was found by Heurico 1.16 in 153 seconds.