The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+181x^58+620x^59+818x^60+1098x^61+950x^62+1236x^63+888x^64+966x^65+577x^66+392x^67+226x^68+114x^69+36x^70+32x^71+20x^72+14x^73+8x^74+8x^75+4x^76+3x^80

The gray image is a code over GF(2) with n=504, k=13 and d=232.
This code was found by Heurico 1.16 in 1.01 seconds.