The generator matrix

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

generates a code of length 18 over Z3[X]/(X^2) who´s minimum homogenous weight is 26.

Homogenous weight enumerator: w(x)=1x^0+228x^26+446x^27+630x^28+1326x^29+1560x^30+1794x^31+3366x^32+4152x^33+4758x^34+6768x^35+6610x^36+6408x^37+6810x^38+5344x^39+3408x^40+2934x^41+1444x^42+498x^43+438x^44+116x^45+8x^48+2x^51

The gray image is a linear code over GF(3) with n=54, k=10 and d=26.
This code was found by Heurico 1.16 in 8.59 seconds.