The generator matrix

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

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+68x^36+216x^37+498x^38+356x^39+1254x^40+1926x^41+600x^42+3312x^43+4050x^44+1286x^45+6588x^46+7356x^47+1738x^48+7626x^49+7560x^50+1476x^51+5544x^52+3996x^53+820x^54+1566x^55+840x^56+166x^57+138x^58+18x^59+30x^60+12x^63+8x^66

The gray image is a linear code over GF(3) with n=72, k=10 and d=36.
This code was found by Heurico 1.16 in 11.7 seconds.