The generator matrix

 1  0  0  0  1  1  1 2X  1  1  1  1  1  1  1  1  1  1
 0  1  0  0  0  1 2X+1  1  0  X 2X+2 2X+2 2X+1  2  2  X 2X  0
 0  0  1  0  1  1 2X+2 2X+1  1 2X+2 2X+1  X  2 2X+1  2 2X+2 2X+1  0
 0  0  0  1  2  0 2X+2 2X+2  1 2X 2X  1 X+2 X+1  X 2X+1 2X+2  0
 0  0  0  0 2X  0 2X  X  0 2X  X 2X  X  0  0  0  0  X
 0  0  0  0  0  X 2X  0 2X  X  0 2X  X  0 2X 2X  0 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+44x^24+102x^25+150x^26+576x^27+564x^28+762x^29+1874x^30+2010x^31+2544x^32+4746x^33+4776x^34+6042x^35+8838x^36+5778x^37+5826x^38+5738x^39+3498x^40+1992x^41+2082x^42+738x^43+180x^44+132x^45+30x^46+20x^48+4x^51+2x^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 6.24 seconds.