The generator matrix

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

generates a code of length 63 over Z16 who´s minimum homogenous weight is 58.

Homogenous weight enumerator: w(x)=1x^0+535x^58+974x^59+1731x^60+2068x^61+2251x^62+2174x^63+1971x^64+1522x^65+1305x^66+812x^67+648x^68+192x^69+93x^70+46x^71+30x^72+10x^73+8x^74+10x^75+1x^76+2x^80

The gray image is a code over GF(2) with n=504, k=14 and d=232.
This code was found by Heurico 1.16 in 3.83 seconds.