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  1  1  1  1  1  2  1  4  1  1  1  1  1  1  4  1  2  1  2  2
 0 12  0 12  0 12  0  4  8 12  0 12 12  0  8  4  8  4  4  0  0 12 12  8  0 12 12  0 12  4 12  0  8  0  8 12 12  4  0  0  8  8  8 12  4  8  8 12  4 12  8  4 12  4 12  8 12  0
 0  0  8  0  0  0  0  0  8  0  0  8  8  8  8  0  8  8  8  0  8  0  0  0  0  0  0  8  0  0  0  0  8  8  0  8  8  8  0  8  8  0  0  8  8  0  8  8  8  8  0  8  8  0  0  0  8  8
 0  0  0  8  0  0  0  8  0  0  0  8  0  0  0  8  0  0  8  8  8  0  8  0  8  0  8  8  0  0  8  8  0  8  0  8  8  0  0  8  8  8  0  0  8  0  8  0  0  0  8  0  8  8  0  8  0  8
 0  0  0  0  8  0  0  0  0  8  8  0  8  0  8  8  8  0  8  8  0  0  0  8  0  8  8  8  8  0  8  0  0  8  8  8  8  8  0  8  0  8  0  8  0  0  8  8  0  8  8  0  8  8  8  8  8  0
 0  0  0  0  0  8  0  8  0  8  8  0  0  8  8  0  8  8  8  8  0  0  8  8  8  0  8  0  8  8  0  8  8  0  0  0  0  0  8  8  8  0  8  0  8  0  8  8  8  8  8  0  8  8  8  8  8  8
 0  0  0  0  0  0  8  0  8  0  8  0  0  0  8  0  0  0  0  8  8  8  8  0  0  8  8  0  8  8  8  8  8  8  8  8  0  8  8  8  8  0  0  8  8  0  0  8  8  0  0  0  8  0  0  8  0  0

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

Homogenous weight enumerator: w(x)=1x^0+76x^52+76x^54+257x^56+256x^57+756x^58+256x^59+248x^60+20x^62+53x^64+44x^66+4x^68+1x^104

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 0.337 seconds.