The generator matrix

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

generates a code of length 63 over Z16 who´s minimum homogenous weight is 56.

Homogenous weight enumerator: w(x)=1x^0+241x^56+416x^57+1295x^58+1472x^59+2821x^60+3316x^61+4779x^62+4098x^63+5040x^64+3252x^65+2908x^66+1290x^67+1027x^68+342x^69+208x^70+112x^71+80x^72+32x^73+24x^74+2x^75+4x^76+2x^77+2x^79+2x^80+1x^82+1x^86

The gray image is a code over GF(2) with n=504, k=15 and d=224.
This code was found by Heurico 1.16 in 12.3 seconds.