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

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

Homogenous weight enumerator: w(x)=1x^0+154x^52+304x^53+408x^54+656x^55+1071x^56+876x^57+1492x^58+908x^59+974x^60+536x^61+268x^62+184x^63+149x^64+76x^65+60x^66+44x^67+16x^68+12x^70+2x^72+1x^88

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 1.23 seconds.