The generator matrix

 1  0  1  1  1  6  1  1 12  1  1 10  0  1  1  1  1  6 12  1  1 10  1  1  1  6  1  1  1  1  1  0 10  1  1  1 12  1  6  1  1  1  1  1  1  6  1  0 12  1 10 10  1  1 10  2  1  1
 0  1  3  6  5  1 12 15  1 10  9  1  1  0  3  6  5  1  1 15 12  1  9 10  9  1  0  6 10 15 12  1  1  3 12  0  1 10  1  0  6  5  6  8  3  1 14  1  1  6  1  1  3  3  1  1  5 10
 0  0  8  0  0  0  0  0  0  8  0  0  0  8  8  8  8  8  8  8  0  8  8  8  0  8  8  0  0  0  8  0  8  8  8  8  8  8  8  8  8  0  8  8  0  0  0  0  0  0  0  8  8  0  0  8  0  8
 0  0  0  8  0  0  0  8  0  8  8  0  8  8  0  8  0  8  0  8  0  8  0  0  8  8  0  0  8  0  0  8  0  8  0  8  8  0  8  8  8  8  0  8  0  8  0  8  0  0  0  8  0  8  8  0  0  8
 0  0  0  0  8  0  0  0  8  0  8  0  8  0  0  0  0  8  8  8  0  0  8  0  0  0  0  8  8  8  8  0  8  0  8  0  0  8  8  8  8  8  8  8  8  8  8  0  8  0  0  0  8  0  0  8  8  0
 0  0  0  0  0  8  0  8  8  0  8  0  0  0  0  8  8  8  0  0  8  8  8  8  8  8  8  0  8  8  8  0  8  0  8  8  8  0  0  8  0  0  0  0  0  8  8  0  0  8  0  0  8  0  8  0  0  8
 0  0  0  0  0  0  8  8  0  8  8  8  8  0  8  8  0  0  8  0  8  8  8  0  0  0  8  8  8  0  0  0  0  0  8  8  8  8  0  0  0  0  0  8  0  0  8  8  0  8  0  8  8  0  0  8  8  8

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

Homogenous weight enumerator: w(x)=1x^0+133x^52+152x^53+492x^54+536x^55+1029x^56+1104x^57+1320x^58+1104x^59+1023x^60+536x^61+492x^62+152x^63+99x^64+6x^68+7x^72+5x^76+1x^84

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 1.27 seconds.