The generator matrix

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

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+504x^93+18x^94+1236x^96+216x^97+486x^98+1678x^99+1836x^100+1944x^101+2940x^102+3384x^103+1944x^104+1542x^105+378x^106+910x^108+402x^111+210x^114+46x^117+6x^120+2x^135

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 32.7 seconds.