The generator matrix

 1  0  1  1  1  6  1  1 10  1  1 12  1  1 12  1  1 10  1  1  6  1  1  0  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  8 14  4  2  8 14  4  2  1  1  1  1  4  1
 0  1  3  6  5  1 12 15  1 10  9  1  0  3  1  6  5  1 12 15  1 10  9  1  8 14 11 13  4  2  7  1  8 14  4  2 11 13  7  1  1  1  1  1  1  1  1  1  0  6 12 10 12  0
 0  0  8  8  0  8  8  0  0  0  8  8  8  0  0  0  8  8  0  8  0  8  0  8  8  0  8  0  0  8  0  8  0  8  8  0  0  8  8  0  8  0  0  8  0  8  8  0  0  8  8  0  0  0

generates a code of length 54 over Z16 who´s minimum homogenous weight is 52.

Homogenous weight enumerator: w(x)=1x^0+26x^52+164x^53+138x^54+152x^55+20x^56+4x^57+4x^58+1x^64+2x^74

The gray image is a code over GF(2) with n=432, k=9 and d=208.
This code was found by Heurico 1.16 in 0.0638 seconds.