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

generates a code of length 54 over Z9[X]/(X^2+3,3X) who´s minimum homogenous weight is 108.

Homogenous weight enumerator: w(x)=1x^0+234x^108+6x^117+2x^135

The gray image is a code over GF(3) with n=486, k=5 and d=324.
This code was found by Heurico 1.16 in 0.0429 seconds.