The generator matrix

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

generates a code of length 45 over Z3[X]/(X^3) who´s minimum homogenous weight is 85.

Homogenous weight enumerator: w(x)=1x^0+162x^85+504x^86+838x^87+894x^88+720x^89+766x^90+570x^91+576x^92+700x^93+462x^94+300x^95+8x^96+6x^97+14x^99+6x^100+2x^102+6x^103+6x^104+18x^105+2x^108

The gray image is a linear code over GF(3) with n=405, k=8 and d=255.
This code was found by Heurico 1.16 in 0.101 seconds.