The generator matrix

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

generates a code of length 63 over Z16 who´s minimum homogenous weight is 55.

Homogenous weight enumerator: w(x)=1x^0+60x^55+337x^56+924x^57+2046x^58+3422x^59+5652x^60+7292x^61+8288x^62+9522x^63+8933x^64+7262x^65+5155x^66+3236x^67+1722x^68+848x^69+479x^70+166x^71+111x^72+18x^73+27x^74+10x^75+10x^76+8x^77+5x^78+2x^80

The gray image is a code over GF(2) with n=504, k=16 and d=220.
This code was found by Heurico 1.16 in 37.8 seconds.