The generator matrix

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

generates a code of length 83 over Z3[X]/(X^3) who´s minimum homogenous weight is 155.

Homogenous weight enumerator: w(x)=1x^0+228x^155+418x^156+414x^157+1572x^158+1460x^159+1818x^160+3390x^161+2848x^162+3942x^163+5358x^164+4202x^165+5886x^166+6018x^167+4576x^168+5094x^169+4668x^170+2348x^171+1674x^172+1470x^173+596x^174+126x^175+324x^176+152x^177+156x^179+80x^180+90x^182+34x^183+42x^185+36x^186+12x^188+6x^189+6x^192+4x^195

The gray image is a linear code over GF(3) with n=747, k=10 and d=465.
This code was found by Heurico 1.16 in 12.8 seconds.