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  1  1  1  1  1  1  1  1  1  1  1
 0  8  0  0  0  0  0  8  0  0  0  8  8  0  8  8  0  0  8  0  0  8  8  0  8  8  0  0  8  0  0  0  0  0  8  8  8  8  0  0  8  8  8  0  0  8  0  0  8  8  8  8  0  0
 0  0  8  0  0  0  0  8  0  0  8  8  0  8  8  0  0  8  8  0  0  0  0  8  8  0  0  8  8  0  0  0  8  8  8  8  0  0  8  8  8  8  0  0  8  8  8  8  8  0  0  8  0  0
 0  0  0  8  0  0  0  8  0  8  8  0  0  8  0  8  0  0  8  0  8  8  0  8  0  0  8  8  0  0  8  8  8  0  0  8  8  0  8  0  0  8  8  8  8  0  0  0  0  8  0  8  0  0
 0  0  0  0  8  0  0  8  0  8  0  0  8  8  8  0  8  0  8  8  0  0  8  0  0  0  8  8  8  8  8  8  8  8  0  0  0  0  8  8  8  8  8  0  0  0  8  0  8  8  8  8  0  0
 0  0  0  0  0  8  0  8  8  0  0  0  8  8  0  8  8  0  0  8  8  0  0  0  8  8  0  0  8  0  8  8  8  0  0  8  8  0  0  8  8  0  8  8  8  8  0  8  0  0  0  0  0  0
 0  0  0  0  0  0  8  8  8  0  8  0  0  0  8  8  0  8  0  8  0  0  8  0  8  0  8  0  8  8  8  0  8  0  8  0  0  8  8  0  0  8  0  8  8  0  8  0  0  8  0  8  0  0

generates a code of length 54 over Z16 who´s minimum homogenous weight is 48.

Homogenous weight enumerator: w(x)=1x^0+25x^48+38x^52+896x^54+38x^56+25x^60+1x^108

The gray image is a code over GF(2) with n=432, k=10 and d=192.
This code was found by Heurico 1.16 in 0.0908 seconds.