The generator matrix

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

generates a code of length 76 over Z3[X]/(X^2) who´s minimum homogenous weight is 142.

Homogenous weight enumerator: w(x)=1x^0+258x^142+348x^143+96x^144+486x^145+576x^146+148x^147+540x^148+516x^149+132x^150+390x^151+444x^152+132x^153+378x^154+300x^155+76x^156+282x^157+258x^158+48x^159+222x^160+198x^161+50x^162+210x^163+156x^164+28x^165+96x^166+54x^167+18x^168+48x^169+54x^170+6x^172+12x^173

The gray image is a linear code over GF(3) with n=228, k=8 and d=142.
This code was found by Heurico 1.16 in 3.37 seconds.