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

generates a code of length 59 over Z16 who´s minimum homogenous weight is 52.

Homogenous weight enumerator: w(x)=1x^0+120x^52+4x^53+162x^54+40x^55+305x^56+428x^57+726x^58+624x^59+711x^60+380x^61+266x^62+40x^63+127x^64+20x^65+74x^66+45x^68+20x^70+2x^72+1x^96

The gray image is a code over GF(2) with n=472, k=12 and d=208.
This code was found by Heurico 1.16 in 0.533 seconds.