The generator matrix

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

generates a code of length 24 over Z3[X]/(X^2) who´s minimum homogenous weight is 42.

Homogenous weight enumerator: w(x)=1x^0+78x^42+52x^45+486x^48+60x^51+26x^54+24x^60+2x^72

The gray image is a linear code over GF(3) with n=72, k=6 and d=42.
This code was found by Heurico 1.16 in 0.0404 seconds.