The generator matrix

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

generates a code of length 76 over Z3[X]/(X^2) who´s minimum homogenous weight is 141.

Homogenous weight enumerator: w(x)=1x^0+172x^141+108x^142+204x^143+476x^144+264x^145+240x^146+674x^147+282x^148+228x^149+602x^150+204x^151+228x^152+506x^153+168x^154+204x^155+372x^156+150x^157+132x^158+370x^159+132x^160+72x^161+258x^162+54x^163+114x^164+104x^165+66x^166+36x^167+74x^168+6x^169+28x^171+18x^172+2x^174+6x^175+6x^177

The gray image is a linear code over GF(3) with n=228, k=8 and d=141.
This code was found by Heurico 1.16 in 0.748 seconds.