The generator matrix

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

generates a code of length 18 over Z3[X]/(X^2) who´s minimum homogenous weight is 32.

Homogenous weight enumerator: w(x)=1x^0+126x^32+84x^33+90x^34+36x^35+78x^36+54x^37+90x^38+66x^39+72x^41+12x^42+18x^43+2x^45

The gray image is a linear code over GF(3) with n=54, k=6 and d=32.
This code was found by Heurico 1.16 in 0.185 seconds.