The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+62x^57+289x^58+452x^59+884x^60+868x^61+1141x^62+904x^63+1258x^64+804x^65+689x^66+386x^67+277x^68+80x^69+45x^70+14x^71+10x^72+6x^73+8x^74+2x^75+1x^76+4x^77+3x^78+2x^79+1x^80+1x^86

The gray image is a code over GF(2) with n=504, k=13 and d=228.
This code was found by Heurico 1.16 in 0.989 seconds.