The generator matrix

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

generates a code of length 76 over Z3[X]/(X^2) who´s minimum homogenous weight is 139.

Homogenous weight enumerator: w(x)=1x^0+114x^139+260x^141+228x^142+278x^144+540x^145+168x^147+678x^148+432x^150+798x^151+334x^153+714x^154+186x^156+618x^157+260x^159+378x^160+138x^162+258x^163+24x^165+48x^166+38x^168+22x^171+24x^177+8x^180+10x^186+2x^189+2x^195

The gray image is a linear code over GF(3) with n=228, k=8 and d=139.
This code was found by Heurico 1.16 in 58.9 seconds.