The generator matrix

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

generates a code of length 74 over Z3[X]/(X^2) who´s minimum homogenous weight is 135.

Homogenous weight enumerator: w(x)=1x^0+546x^135+1898x^138+2406x^141+2818x^144+2878x^147+2856x^150+2360x^153+2068x^156+1146x^159+508x^162+176x^165+18x^168+4x^171

The gray image is a linear code over GF(3) with n=222, k=9 and d=135.
This code was found by Heurico 1.16 in 7.21 seconds.