The generator matrix

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

generates a code of length 24 over Z3[X]/(X^2) who´s minimum homogenous weight is 36.

Homogenous weight enumerator: w(x)=1x^0+178x^36+132x^38+234x^39+684x^41+666x^42+2106x^44+1242x^45+4128x^47+1764x^48+4068x^50+1404x^51+1836x^53+782x^54+168x^56+162x^57+90x^60+38x^63

The gray image is a linear code over GF(3) with n=72, k=9 and d=36.
This code was found by Heurico 1.16 in 8.03 seconds.