The generator matrix

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

generates a code of length 58 over Z16 who´s minimum homogenous weight is 52.

Homogenous weight enumerator: w(x)=1x^0+91x^52+298x^53+504x^54+668x^55+799x^56+1254x^57+1046x^58+1114x^59+901x^60+792x^61+365x^62+188x^63+95x^64+22x^65+23x^66+10x^67+2x^69+11x^70+4x^71+3x^74+1x^80

The gray image is a code over GF(2) with n=464, k=13 and d=208.
This code was found by Heurico 1.16 in 0.867 seconds.