The generator matrix

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

generates a code of length 63 over Z16 who´s minimum homogenous weight is 57.

Homogenous weight enumerator: w(x)=1x^0+320x^57+1099x^58+2210x^59+3009x^60+3504x^61+4279x^62+4334x^63+4335x^64+3428x^65+2842x^66+1744x^67+850x^68+436x^69+164x^70+110x^71+40x^72+36x^73+15x^74+2x^75+5x^76+4x^77+1x^78

The gray image is a code over GF(2) with n=504, k=15 and d=228.
This code was found by Heurico 1.16 in 10.1 seconds.