The generator matrix

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

generates a code of length 27 over Z9[X]/(X^2+6,3X) who´s minimum homogenous weight is 54.

Homogenous weight enumerator: w(x)=1x^0+72x^54+6x^60+2x^63

The gray image is a code over GF(3) with n=243, k=4 and d=162.
This code was found by Heurico 1.16 in 0.0038 seconds.