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

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

Homogenous weight enumerator: w(x)=1x^0+139x^52+80x^53+122x^54+160x^55+629x^56+608x^57+450x^58+1152x^59+194x^60+208x^61+94x^62+96x^63+121x^64+38x^66+3x^68+1x^104

The gray image is a code over GF(2) with n=464, k=12 and d=208.
This code was found by Heurico 1.16 in 0.581 seconds.