The generator matrix

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

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+134x^27+54x^28+192x^30+432x^31+426x^33+1296x^34+630x^36+1728x^37+492x^39+864x^40+222x^42+72x^45+18x^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 43.8 seconds.