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  3  1  1  1  1  1  1  1  1  3
 0  3  0  0  0  0  3  6  6  0  0  3  3  3  3  3  3  3  0  0  0  3  3  0  0  3  3  0  3  0  6  6  3  6  6  6  6  6  6  6  6  0  6  6  6  0  0  6  3  3  0  6  0  3  6  0
 0  0  3  0  0  3  6  0  6  0  3  3  6  6  0  3  0  3  3  3  0  3  0  0  3  6  3  3  6  0  3  6  0  3  0  6  3  0  3  6  0  3  0  6  3  6  3  0  3  0  6  6  6  3  0  3
 0  0  0  3  0  6  6  3  0  3  3  0  0  3  6  3  3  6  6  3  3  3  0  6  0  3  6  3  0  0  0  6  6  3  6  3  6  6  6  0  3  6  0  6  3  6  0  0  6  3  6  3  0  0  0  0
 0  0  0  0  3  6  6  6  6  6  0  6  0  0  6  6  0  3  0  6  3  0  6  0  3  6  0  3  3  6  6  3  3  0  0  6  0  3  6  3  0  3  3  6  6  0  3  0  6  6  3  0  0  3  6  3

generates a code of length 56 over Z9 who´s minimum homogenous weight is 108.

Homogenous weight enumerator: w(x)=1x^0+330x^108+324x^114+36x^117+36x^126+2x^162

The gray image is a code over GF(3) with n=168, k=6 and d=108.
This code was found by Heurico 1.16 in 91.7 seconds.