The generator matrix

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

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+58x^33+36x^34+42x^35+200x^36+270x^37+288x^38+748x^39+1134x^40+990x^41+1852x^42+3330x^43+2166x^44+3940x^45+6534x^46+3366x^47+5318x^48+7830x^49+3600x^50+4812x^51+5220x^52+2058x^53+2280x^54+1782x^55+612x^56+344x^57+108x^58+80x^60+32x^63+16x^66+2x^69

The gray image is a linear code over GF(3) with n=72, k=10 and d=33.
This code was found by Heurico 1.16 in 9.85 seconds.