The generator matrix

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

generates a code of length 18 over Z3[X]/(X^2) who´s minimum homogenous weight is 30.

Homogenous weight enumerator: w(x)=1x^0+88x^30+102x^31+144x^32+350x^33+138x^34+108x^35+346x^36+108x^37+162x^38+332x^39+96x^40+72x^41+88x^42+42x^43+10x^45

The gray image is a linear code over GF(3) with n=54, k=7 and d=30.
This code was found by Heurico 1.13 in 0.00719 seconds.