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

generates a code of length 52 over Z16 who´s minimum homogenous weight is 50.

Homogenous weight enumerator: w(x)=1x^0+180x^50+184x^52+120x^54+4x^56+20x^58+3x^64

The gray image is a code over GF(2) with n=416, k=9 and d=200.
This code was found by Heurico 1.16 in 0.419 seconds.