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  1  1  1  1  1  1  1  1  1  1  1  1  1  2  1  1  1  1  1  1  4  1  1  2  1  1  4  1  1  1  1  1  1
 0 12  0  4  0  0  4  4  8  8  4 12 12 12  0  8  0  4  8  4 12  0  0  4  4  4  0  8  8  4  0 12  0  8  8  0 12  8 12 12  8  8 12  4 12  0  0  4  8 12 12 12  8  4  8  0  4  0
 0  0 12  4  0 12 12  0  8  4  4  0  8  4  8 12  0 12 12  8  0  4  0  4  8  8  0  0  4  4  4  4  0  4  8 12  8  4  0  8  4  0 12  0  8 12 12  8  4  8  0  0 12 12  4  4  0  0
 0  0  0  8  0  0  8  0  0  0  0  8  8  0  8  8  8  8  8  8  0  8  8  0  0  8  0  8  8  8  0  0  0  0  0  0  8  8  8  0  8  0  0  0  0  0  8  0  0  8  8  0  8  0  0  8  8  0
 0  0  0  0  8  0  0  0  0  8  8  0  8  0  8  8  0  8  0  0  8  8  8  8  8  8  8  0  0  8  8  0  0  0  8  8  0  8  8  8  8  8  8  0  8  0  0  0  0  8  8  0  0  8  0  8  8  0
 0  0  0  0  0  8  8  8  8  8  8  8  8  8  0  0  0  8  8  0  8  8  8  0  0  0  8  8  0  0  0  0  8  0  0  8  8  0  0  8  8  0  8  0  0  0  8  8  8  0  8  8  0  8  8  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+62x^52+98x^54+265x^56+256x^57+714x^58+256x^59+257x^60+70x^62+37x^64+14x^66+16x^68+1x^72+1x^108

The gray image is a code over GF(2) with n=464, k=11 and d=208.
This code was found by Heurico 1.16 in 0.228 seconds.