The generator matrix

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

generates a code of length 18 over Z3[X]/(X^2) who´s minimum homogenous weight is 24.

Homogenous weight enumerator: w(x)=1x^0+122x^24+90x^25+54x^26+474x^27+684x^28+540x^29+1658x^30+2952x^31+2160x^32+4188x^33+7254x^34+4320x^35+6148x^36+9198x^37+4320x^38+5048x^39+5310x^40+1728x^41+1836x^42+756x^43+148x^45+44x^48+10x^51+6x^54

The gray image is a linear code over GF(3) with n=54, k=10 and d=24.
This code was found by Heurico 1.16 in 5.77 seconds.