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

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+192x^136+252x^137+286x^138+450x^139+486x^140+368x^141+360x^142+438x^143+236x^144+414x^145+390x^146+218x^147+324x^148+300x^149+212x^150+252x^151+198x^152+196x^153+156x^154+132x^155+90x^156+138x^157+132x^158+56x^159+90x^160+66x^161+20x^162+30x^163+36x^164+12x^165+24x^166+6x^168

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 2.45 seconds.