The generator matrix

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

generates a code of length 46 over Z3[X]/(X^3) who´s minimum homogenous weight is 84.

Homogenous weight enumerator: w(x)=1x^0+250x^84+216x^85+486x^86+684x^87+918x^88+1836x^89+1310x^90+1944x^91+3726x^92+1592x^93+2214x^94+2592x^95+946x^96+540x^97+108x^98+220x^99+60x^102+24x^105+8x^108+4x^111+2x^114+2x^120

The gray image is a linear code over GF(3) with n=414, k=9 and d=252.
This code was found by Heurico 1.16 in 1.74 seconds.