The generator matrix

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

generates a code of length 18 over Z3[X]/(X^2) who´s minimum homogenous weight is 29.

Homogenous weight enumerator: w(x)=1x^0+240x^29+230x^30+246x^31+510x^32+404x^33+408x^34+768x^35+846x^36+432x^37+876x^38+544x^39+330x^40+480x^41+154x^42+42x^43+42x^44+8x^45

The gray image is a linear code over GF(3) with n=54, k=8 and d=29.
This code was found by Heurico 1.16 in 0.235 seconds.