The generator matrix

 1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  X  X  X  X  0  6  X  X  3
 0  X 2X  6 X+3 2X+6  3 X+6 2X+3  0 X+3  6 X+6 2X 2X+6  3  X 2X+3 X+3 X+6 2X 2X+6  X  X  X 2X+3  X

generates a code of length 27 over Z9[X]/(X^2+3,3X) who´s minimum homogenous weight is 54.

Homogenous weight enumerator: w(x)=1x^0+236x^54+6x^63

The gray image is a code over GF(3) with n=243, k=5 and d=162.
This code was found by Heurico 1.16 in 0.00353 seconds.