The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+277x^56+1106x^57+2273x^58+3278x^59+5549x^60+7088x^61+8556x^62+8964x^63+9513x^64+7120x^65+5185x^66+3040x^67+1928x^68+888x^69+410x^70+214x^71+74x^72+38x^73+16x^74+6x^75+1x^76+8x^78+2x^79+1x^80

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 37.8 seconds.