The generator matrix

 1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  0  2 12  4  4  8  0  2  8  2  2  2  2  1  4  2  1  1  2  2  1  2  2 12  1  1  8  2  2  1
 0  2  0  0  0  0  0  0  0 10  6 10 14 10  2  2  8  4 12  8  6  6 10  4  4  6  2  6  6  4 10 12 10  2  4  2  2  2  0  2 10  2  0 14  8  6  2  2  4  2 12 14  8 14 12  4  8  4 12  2  8  6  0
 0  0  2  0  0  8 10  6  6  2  6  0  2  0  8 14 10  0  8  2 14 12  4 12  2  2  2 12  8  4 10  2  8 14  0  4  0  2  2  8 14  4 14 12 10  2 14 12  8  6  8  4  2  0  4 14 12  2  8  8  6  2  8
 0  0  0  2  0 10 10 10  8  2 14  8  4 10 10  8 14 10  8 12  2  0 14  8 14  8  4 14 12 10 14  8  0  4  4 10 12  2 12  2 14  8 14  4  0 12 10  6 10 10  6 12  4 14  6 14  8 12  8 10  0  2  8
 0  0  0  0  2  2  8 10  2 14  8 14  2  2  4 12 12 10  2  6 10  8 12  0 14  2  0 14 14  2  0  8 12 12 10  6  6  4  0  0 10 10 10 12  2  0  8  2  6 14  4 10  0  2 10  8  2  6 14  6  4  8 12

generates a code of length 63 over Z16 who´s minimum homogenous weight is 54.

Homogenous weight enumerator: w(x)=1x^0+166x^54+452x^55+1051x^56+1522x^57+2407x^58+3668x^59+4816x^60+6388x^61+8170x^62+8194x^63+8241x^64+6742x^65+4929x^66+3296x^67+2356x^68+1406x^69+854x^70+426x^71+224x^72+144x^73+46x^74+8x^75+14x^76+6x^77+4x^78+4x^79+1x^80

The gray image is a code over GF(2) with n=504, k=16 and d=216.
This code was found by Heurico 1.16 in 65.5 seconds.