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

generates a code of length 63 over Z16 who´s minimum homogenous weight is 57.

Homogenous weight enumerator: w(x)=1x^0+176x^57+274x^58+516x^59+645x^60+964x^61+1013x^62+1350x^63+1002x^64+840x^65+461x^66+348x^67+191x^68+186x^69+73x^70+74x^71+37x^72+24x^73+10x^74+4x^76+2x^77+1x^98

The gray image is a code over GF(2) with n=504, k=13 and d=228.
This code was found by Heurico 1.16 in 1.19 seconds.