The generator matrix

 1  0  1  1  1  1  1  0  1  1  1  1  0  1  1  3  1  1  1  1  0  1  1  3  1  1  1  1  1  1  6  6  1  1  1  1  1  1  1  1  3  3  3  3  0  6  0  6  0  1  1  1  1  6  6  0
 0  1  1  8  0  7  8  1  0  7  8  7  1  3  2  1  0  8  3  7  1  4  2  1  3  3  4  4  2  5  1  1  6  4  0  4  3  6  7  1  1  1  1  1  1  1  1  1  1  0  3  7  4  1  1  1
 0  0  6  0  3  6  3  0  6  3  0  0  6  3  6  3  0  3  6  3  3  0  6  6  6  3  3  6  3  6  3  6  3  3  6  6  0  0  0  0  6  0  3  0  3  3  0  6  3  3  6  6  3  0  0  3
 0  0  0  3  3  6  6  3  0  0  6  0  3  0  3  3  3  3  3  6  0  6  6  0  0  3  6  0  3  6  3  0  0  0  3  6  3  0  6  0  3  0  0  3  3  0  6  6  6  6  6  3  3  3  6  0

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

Homogenous weight enumerator: w(x)=1x^0+288x^108+126x^111+144x^114+126x^117+36x^120+4x^126+4x^144

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 0.459 seconds.