The generator matrix

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

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+400x^141+568x^144+372x^147+312x^150+206x^153+118x^156+98x^159+38x^162+48x^165+18x^168+4x^171+2x^174+2x^180

The gray image is a linear code over GF(3) with n=222, k=7 and d=141.
This code was found by Heurico 1.16 in 0.152 seconds.