The generator matrix

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

generates a code of length 24 over Z3[X]/(X^2) who´s minimum homogenous weight is 43.

Homogenous weight enumerator: w(x)=1x^0+48x^43+120x^44+32x^45+72x^46+96x^47+24x^48+144x^49+16x^51+60x^52+96x^53+12x^56+8x^60

The gray image is a linear code over GF(3) with n=72, k=6 and d=43.
This code was found by Heurico 1.16 in 0.00475 seconds.