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

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+726x^54+2x^81

The gray image is a code over GF(3) with n=243, k=6 and d=162.
This code was found by Heurico 1.16 in 0.00591 seconds.