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

generates a code of length 74 over Z3[X]/(X^2) who´s minimum homogenous weight is 141.

Homogenous weight enumerator: w(x)=1x^0+46x^141+24x^144+66x^147+486x^148+60x^150+42x^156+2x^162+2x^222

The gray image is a linear code over GF(3) with n=222, k=6 and d=141.
This code was found by Heurico 1.16 in 0.065 seconds.