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  8  2  2  2  8  1  1
 0 12  0 12  0 12  0 12  0 12  0 12  0 12  8  4  8  4  8  4  8  4  8  4  0 12  8  4  8  4  8  4 12 12 12  4 12  0 12  0  0  8 12  4  0  8  0  8  0  8  0  0
 0  0  8  0  0  0  8  0  0  8  0  8  8  8  8  8  8  8  8  8  0  0  0  0  8  8  0  0  8  8  0  0  0  0  0  0  8  8  8  0  8  0  8  8  0  8  8  8  0  8  0  0
 0  0  0  8  0  0  0  8  8  8  8  8  8  0  8  0  0  0  0  8  8  8  8  0  8  0  0  8  8  8  0  0  0  0  8  8  8  8  8  8  0  0  0  0  8  8  0  8  0  8  0  0
 0  0  0  0  8  8  8  8  8  0  0  8  0  8  8  0  0  8  8  8  0  0  8  0  8  0  0  8  0  0  8  8  0  8  8  0  0  0  8  8  0  8  8  0  0  0  8  8  0  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+21x^48+242x^50+29x^52+176x^54+10x^56+28x^58+2x^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 0.09 seconds.