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

generates a code of length 51 over Z3[X]/(X^3) who´s minimum homogenous weight is 93.

Homogenous weight enumerator: w(x)=1x^0+96x^93+120x^94+450x^95+472x^96+474x^97+1146x^98+1876x^99+876x^100+2598x^101+3442x^102+1062x^103+2592x^104+2346x^105+726x^106+924x^107+120x^108+114x^109+66x^110+102x^111+24x^112+24x^114+6x^115+10x^117+12x^120+2x^123+2x^129

The gray image is a linear code over GF(3) with n=459, k=9 and d=279.
This code was found by Heurico 1.16 in 0.889 seconds.