The generator matrix

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

generates a code of length 24 over Z3[X]/(X^2) who´s minimum homogenous weight is 30.

Homogenous weight enumerator: w(x)=1x^0+180x^30+500x^33+766x^36+1284x^39+486x^40+2138x^42+3888x^43+3030x^45+11664x^46+3522x^48+15552x^49+3090x^51+7776x^52+2462x^54+1560x^57+742x^60+302x^63+96x^66+10x^69

The gray image is a linear code over GF(3) with n=72, k=10 and d=30.
This code was found by Heurico 1.16 in 15.7 seconds.