The generator matrix

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

generates a code of length 24 over Z3[X]/(X^2) who´s minimum homogenous weight is 35.

Homogenous weight enumerator: w(x)=1x^0+228x^35+328x^36+582x^37+1338x^38+1898x^39+2370x^40+4602x^41+5142x^42+6390x^43+10398x^44+12406x^45+13110x^46+18186x^47+17668x^48+15906x^49+18426x^50+14658x^51+10782x^52+9624x^53+5868x^54+2994x^55+2508x^56+1024x^57+354x^58+300x^59+36x^60+18x^63+2x^66

The gray image is a linear code over GF(3) with n=72, k=11 and d=35.
This code was found by Heurico 1.16 in 95.4 seconds.