The generator matrix

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

generates a code of length 73 over Z3[X]/(X^2) who´s minimum homogenous weight is 136.

Homogenous weight enumerator: w(x)=1x^0+252x^136+348x^137+82x^138+468x^139+540x^140+186x^141+528x^142+480x^143+120x^144+426x^145+462x^146+82x^147+432x^148+402x^149+120x^150+270x^151+252x^152+30x^153+198x^154+186x^155+82x^156+174x^157+150x^158+18x^159+102x^160+54x^161+2x^162+42x^163+30x^164+6x^165+24x^166+6x^167+6x^170

The gray image is a linear code over GF(3) with n=219, k=8 and d=136.
This code was found by Heurico 1.16 in 1.38 seconds.