The generator matrix

 1  0  1  1  1  6  1  1  1  1 X+3 X+6  1  1  1  1  3  X  1  1  1  1  1  1 2X 2X+6 2X+3
 0  1 2X+4 X+3 2X+7  1  6 X+1 X+6 X+7  1  1 2X 2X+6 2X+1 X+4  1  1  3  X 2X+3  4  7  1  1  1  1

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 1.45 seconds.