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  2  1  1  1  1  1  1  1  2  1  1  1  1  2  1  1  1  2  1  1  2  1  1  2  2  2  1  1  1  1  1
 0  8  0  0  0  0  0  0  0  8  8  8  8  8  8  8  0  0  0  0  0  0  0  0  0  0  8  8  8  0  8  8  8  8  8  0  0  8  8  8  8  8  0  0  8  0  0  8  0  0  0  8  0  0  0  8  0  0
 0  0  8  0  0  0  0  0  8  8  8  8  8  8  8  0  0  0  0  0  8  8  8  8  8  0  0  0  8  8  8  0  8  0  0  0  8  8  0  8  0  0  0  8  8  0  0  0  0  8  0  0  8  0  0  8  8  0
 0  0  0  8  0  0  0  0  8  0  0  8  0  8  8  8  0  0  8  8  8  8  8  8  8  8  8  8  8  0  8  8  8  8  0  8  0  8  0  0  0  8  0  8  0  8  0  8  8  0  0  0  0  0  0  0  0  0
 0  0  0  0  8  0  0  0  8  0  8  8  0  8  0  8  8  8  0  0  0  0  0  0  8  8  0  8  8  8  0  8  8  0  8  8  8  0  0  0  0  0  8  8  0  0  0  8  8  8  0  0  8  0  0  8  0  0
 0  0  0  0  0  8  0  0  8  0  8  0  8  0  8  8  8  0  8  0  0  0  0  8  0  8  0  8  8  8  8  0  0  0  8  0  8  0  8  8  8  0  8  0  8  8  8  0  0  0  0  0  8  0  8  0  0  0
 0  0  0  0  0  0  8  0  8  8  0  0  8  8  0  8  0  8  8  0  0  0  8  8  8  8  0  8  0  8  0  8  0  0  0  0  0  8  0  0  8  8  0  8  8  0  8  0  8  0  8  0  8  0  0  8  0  8
 0  0  0  0  0  0  0  8  8  8  0  8  8  0  0  8  8  0  0  8  0  8  8  0  8  8  8  0  8  8  8  8  0  0  8  0  0  8  8  0  0  0  0  0  8  8  8  8  8  8  0  8  8  0  8  8  8  8

generates a code of length 58 over Z16 who´s minimum homogenous weight is 50.

Homogenous weight enumerator: w(x)=1x^0+29x^50+48x^52+62x^54+93x^56+1630x^58+66x^60+38x^62+31x^64+19x^66+13x^68+12x^70+3x^72+2x^74+1x^100

The gray image is a code over GF(2) with n=464, k=11 and d=200.
This code was found by Heurico 1.16 in 0.259 seconds.