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

generates a code of length 52 over Z16 who´s minimum homogenous weight is 48.

Homogenous weight enumerator: w(x)=1x^0+25x^48+42x^50+128x^51+153x^52+128x^53+6x^56+20x^58+6x^60+2x^66+1x^68

The gray image is a code over GF(2) with n=416, k=9 and d=192.
This code was found by Heurico 1.16 in 0.0599 seconds.