The generator matrix

 1  0  1  1  1  1  1  0  1  0  1  1  1  1  1  0  X  1  1  1  1  0  1  1 2X  1  1  1  X  1  X  1  1  1  1  1  1  0  1  1  1  1  0  1  1  1 2X  1 2X  X  1  1  1 2X  1  1  1  1  1  1  X  1  1  1  1  1 2X  1  1  1  1  1  1  1
 0  1  1  2  0  1  2  1 2X+1  1  0  2 X+2 2X+1  0  1  1  0  2 2X+1  0  1 2X+1  2  1  X 2X+1  0  1  2  1 2X+2 2X X+1  X  1 X+2  1  X 2X+1  0 X+1  1 2X 2X+1  2  1 2X  1  1 2X+2 2X  1  1  2 X+2 2X+2  0 X+1 X+1  1  X  1 X+1 2X+1  2  1 X+2  X  X  X X+1  1  2
 0  0 2X  0  0  0  0  0  0  0 2X  X  X 2X 2X 2X 2X 2X 2X  X 2X  X  X  X  X 2X  X  0  0 2X  X  X 2X  X  X  X 2X  0  X 2X 2X  X 2X  X 2X  X  X  X  X  0  0 2X  0  X 2X  0 2X  0  X  0  0 2X  X  X  0 2X  0  0  X 2X 2X  0  X  X
 0  0  0  X  0  0  0  X 2X  X  0 2X  X 2X 2X  0 2X 2X  0  0 2X 2X  0  X 2X  0 2X 2X  X  0 2X 2X 2X  X  X 2X  0  X  X  X  X 2X 2X  0  X 2X  X 2X  X 2X 2X  X 2X 2X  X  X  X  X  X  X  0 2X  0  X  X 2X 2X 2X 2X  X  X 2X  0  X
 0  0  0  0  X  0  X  X  X  X  X 2X  0  X  X  0 2X  0  0  0  X  0 2X 2X  0 2X 2X 2X 2X  X  X  0 2X  X 2X 2X 2X  0  0  0 2X  0 2X  X 2X  0  0 2X  0 2X  X 2X  X 2X  X 2X  0  X  0  X 2X 2X 2X  0  0 2X 2X 2X  0  0 2X  0  X  0
 0  0  0  0  0 2X 2X  0 2X  X  0 2X  X  X 2X 2X  X  X 2X  0  0  0 2X  0  X 2X  X  0 2X 2X  0  X  X  0  X 2X  X 2X  X  X  X 2X  0 2X 2X  0  X  X 2X  0 2X  0  X  X  X 2X  0  X  0  0 2X  0  0 2X 2X 2X  X 2X  X  0  0  0  0  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+142x^135+560x^138+784x^141+964x^144+1020x^147+1084x^150+946x^153+656x^156+232x^159+80x^162+26x^165+18x^168+14x^171+16x^174+6x^177+2x^180+8x^183+2x^189

The gray image is a linear code over GF(3) with n=222, k=8 and d=135.
This code was found by Heurico 1.16 in 0.889 seconds.