The generator matrix

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

generates a code of length 58 over Z16 who´s minimum homogenous weight is 53.

Homogenous weight enumerator: w(x)=1x^0+248x^53+327x^54+994x^55+1002x^56+1144x^57+1039x^58+1136x^59+853x^60+734x^61+311x^62+274x^63+20x^64+36x^65+17x^66+28x^67+9x^68+14x^69+2x^70+1x^72+2x^76

The gray image is a code over GF(2) with n=464, k=13 and d=212.
This code was found by Heurico 1.16 in 0.873 seconds.