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

generates a code of length 81 over Z3[X]/(X^2) who´s minimum homogenous weight is 152.

Homogenous weight enumerator: w(x)=1x^0+420x^152+226x^153+804x^155+406x^156+714x^158+408x^159+624x^161+340x^162+468x^164+298x^165+492x^167+180x^168+300x^170+136x^171+228x^173+106x^174+210x^176+60x^177+78x^179+24x^180+30x^182+6x^185+2x^189

The gray image is a linear code over GF(3) with n=243, k=8 and d=152.
This code was found by Heurico 1.16 in 1.15 seconds.