The generator matrix

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

generates a code of length 83 over Z3[X]/(X^3) who´s minimum homogenous weight is 158.

Homogenous weight enumerator: w(x)=1x^0+342x^158+642x^159+774x^160+1416x^161+1454x^162+1260x^163+1572x^164+1460x^165+1764x^166+2034x^167+1646x^168+1332x^169+1254x^170+934x^171+630x^172+468x^173+300x^174+72x^175+126x^176+88x^177+24x^179+12x^180+18x^182+20x^183+18x^185+6x^188+2x^189+12x^191+2x^192

The gray image is a linear code over GF(3) with n=747, k=9 and d=474.
This code was found by Heurico 1.16 in 1.82 seconds.