The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+104x^56+1188x^57+2386x^58+3766x^59+5730x^60+7198x^61+8267x^62+8548x^63+8386x^64+7300x^65+5500x^66+3570x^67+1842x^68+996x^69+475x^70+160x^71+47x^72+32x^73+28x^74+4x^75+2x^76+6x^77

The gray image is a code over GF(2) with n=504, k=16 and d=224.
This code was found by Heurico 1.16 in 35.9 seconds.