The generator matrix

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

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+48x^36+30x^37+72x^38+244x^39+432x^40+366x^41+662x^42+990x^43+690x^44+1266x^45+2406x^46+1158x^47+1912x^48+2484x^49+1254x^50+1616x^51+1926x^52+660x^53+590x^54+480x^55+174x^56+166x^57+44x^60+12x^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 1.39 seconds.