The generator matrix

 1  0  0  1  1  1  1  1  0  1  1  1  1  0  1  1  X  1
 0  1  0  1  0  2  1  2  1  0 2X+1  2 2X 2X  X  0  1  0
 0  0  1  2  1  2  1  0  2 X+2 2X+2  2  1  1 2X 2X+2 2X  0
 0  0  0 2X  0 2X  0 2X 2X 2X  X  0  X  0  X 2X  X  0
 0  0  0  0 2X  X  X 2X 2X 2X  0  0 2X 2X  0  0  X  X

generates a code of length 18 over Z3[X]/(X^2) who´s minimum homogenous weight is 27.

Homogenous weight enumerator: w(x)=1x^0+66x^27+216x^29+210x^30+714x^32+484x^33+1392x^35+614x^36+1530x^38+556x^39+492x^41+218x^42+30x^44+30x^45+8x^48

The gray image is a linear code over GF(3) with n=54, k=8 and d=27.
This code was found by Heurico 1.16 in 0.124 seconds.