The generator matrix

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

generates a code of length 73 over Z3[X]/(X^2) who´s minimum homogenous weight is 135.

Homogenous weight enumerator: w(x)=1x^0+138x^135+102x^136+150x^137+570x^138+252x^139+282x^140+550x^141+258x^142+252x^143+592x^144+270x^145+234x^146+608x^147+138x^148+216x^149+462x^150+174x^151+108x^152+240x^153+96x^154+102x^155+238x^156+90x^157+60x^158+154x^159+54x^160+36x^161+62x^162+18x^163+18x^164+22x^165+6x^166+2x^168+2x^171+2x^174+2x^186

The gray image is a linear code over GF(3) with n=219, k=8 and d=135.
This code was found by Heurico 1.16 in 0.726 seconds.