The generator matrix

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

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+134x^24+192x^25+612x^26+1644x^27+1470x^28+2658x^29+5552x^30+5622x^31+8094x^32+15590x^33+14400x^34+16932x^35+24040x^36+19188x^37+16512x^38+18746x^39+9930x^40+6810x^41+5996x^42+1662x^43+870x^44+442x^45+24x^46+20x^48+6x^51

The gray image is a linear code over GF(3) with n=54, k=11 and d=24.
This code was found by Heurico 1.16 in 72.1 seconds.