The generator matrix

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

generates a code of length 24 over Z3[X]/(X^2) who´s minimum homogenous weight is 33.

Homogenous weight enumerator: w(x)=1x^0+206x^33+302x^36+482x^39+704x^42+928x^45+4374x^46+1068x^48+8748x^49+1110x^51+878x^54+522x^57+244x^60+76x^63+34x^66+4x^69+2x^72

The gray image is a linear code over GF(3) with n=72, k=9 and d=33.
This code was found by Heurico 1.16 in 8.33 seconds.