The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+60x^56+256x^57+565x^58+1042x^59+1844x^60+2640x^61+3651x^62+4170x^63+4783x^64+3904x^65+3593x^66+2590x^67+1735x^68+912x^69+491x^70+238x^71+129x^72+80x^73+18x^74+24x^75+21x^76+16x^77+2x^78+3x^80

The gray image is a code over GF(2) with n=512, k=15 and d=224.
This code was found by Heurico 1.16 in 13 seconds.