The generator matrix

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

generates a code of length 55 over Z9 who´s minimum homogenous weight is 105.

Homogenous weight enumerator: w(x)=1x^0+112x^105+278x^108+180x^111+66x^114+84x^117+6x^126+2x^159

The gray image is a code over GF(3) with n=165, k=6 and d=105.
This code was found by Heurico 1.16 in 0.0239 seconds.