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

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+222x^142+378x^143+86x^144+486x^145+564x^146+154x^147+510x^148+480x^149+146x^150+558x^151+438x^152+120x^153+348x^154+360x^155+86x^156+198x^157+186x^158+54x^159+228x^160+234x^161+30x^162+228x^163+138x^164+30x^165+66x^166+84x^167+16x^168+54x^169+48x^170+6x^171+18x^172+6x^176

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 24.2 seconds.