The generator matrix

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

generates a code of length 46 over Z3[X]/(X^3) who´s minimum homogenous weight is 85.

Homogenous weight enumerator: w(x)=1x^0+444x^85+414x^86+818x^87+1368x^88+1602x^89+1224x^90+2118x^91+3078x^92+1980x^93+2388x^94+1962x^95+996x^96+744x^97+234x^98+78x^99+132x^100+66x^103+2x^105+30x^106+2x^108+2x^123

The gray image is a linear code over GF(3) with n=414, k=9 and d=255.
This code was found by Heurico 1.16 in 1.63 seconds.