The generator matrix

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

generates a code of length 73 over Z3[X]/(X^2) who´s minimum homogenous weight is 133.

Homogenous weight enumerator: w(x)=1x^0+258x^133+522x^134+172x^135+720x^136+888x^137+276x^138+1158x^139+1134x^140+284x^141+1290x^142+1308x^143+332x^144+1266x^145+1266x^146+354x^147+1254x^148+1170x^149+300x^150+1140x^151+1044x^152+170x^153+864x^154+846x^155+156x^156+492x^157+378x^158+96x^159+228x^160+132x^161+36x^162+66x^163+60x^164+6x^165+12x^166+4x^168

The gray image is a linear code over GF(3) with n=219, k=9 and d=133.
This code was found by Heurico 1.16 in 75.2 seconds.