The generator matrix

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

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+120x^27+216x^28+216x^29+1190x^30+648x^31+756x^32+1922x^33+918x^34+1296x^35+3938x^36+1404x^37+1566x^38+2906x^39+972x^40+540x^41+830x^42+216x^43+14x^45+8x^48+2x^51+4x^54

The gray image is a linear code over GF(3) with n=54, k=9 and d=27.
This code was found by Heurico 1.16 in 1.2 seconds.