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

generates a code of length 57 over Z9[X]/(X^2+3,3X) who´s minimum homogenous weight is 108.

Homogenous weight enumerator: w(x)=1x^0+190x^108+60x^111+1638x^114+210x^117+66x^120+10x^126+10x^135+2x^153

The gray image is a code over GF(3) with n=513, k=7 and d=324.
This code was found by Heurico 1.16 in 0.213 seconds.