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
 0  3  0  0  0  0  3  6  6  0  0  3  3  3  3  3  3  3  0  6  0  6  0  6  3  6  0  3  6  3  3  6  6  6  3  0  0  3  3  0  6  0  3  0  0  3  3  0  3  6  6  0  6  0  3
 0  0  3  0  0  3  6  0  6  0  3  3  6  6  0  3  0  3  3  3  3  0  0  6  3  0  0  6  0  3  3  3  0  3  3  6  6  0  6  3  3  6  6  6  0  6  0  6  6  6  0  6  6  0  3
 0  0  0  3  0  6  6  3  0  3  3  0  0  3  6  3  3  6  6  0  0  6  6  6  6  6  6  6  0  6  3  0  0  6  0  0  3  6  0  0  6  6  3  0  3  6  6  3  3  6  3  0  0  6  0
 0  0  0  0  3  6  6  6  6  6  0  6  0  0  6  6  0  3  0  0  6  6  3  6  6  3  6  0  6  0  3  3  3  3  0  0  0  3  6  3  6  3  6  3  3  3  0  3  3  3  0  6  0  0  3

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

Homogenous weight enumerator: w(x)=1x^0+90x^105+240x^108+324x^111+36x^114+36x^123+2x^162

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 20.3 seconds.