The generator matrix

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

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+46x^24+72x^25+30x^26+198x^27+354x^28+192x^29+422x^30+1092x^31+606x^32+1416x^33+2154x^34+1536x^35+2164x^36+2778x^37+1536x^38+1730x^39+1824x^40+420x^41+468x^42+474x^43+54x^44+94x^45+8x^48+14x^51

The gray image is a linear code over GF(3) with n=54, k=9 and d=24.
This code was found by Heurico 1.16 in 0.72 seconds.