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

generates a code of length 48 over Z3[X]/(X^3) who´s minimum homogenous weight is 89.

Homogenous weight enumerator: w(x)=1x^0+432x^89+572x^90+846x^91+1062x^92+1682x^93+1692x^94+1902x^95+2490x^96+2538x^97+2106x^98+1868x^99+1206x^100+624x^101+370x^102+36x^103+114x^104+30x^105+54x^107+16x^108+24x^110+16x^111+2x^120

The gray image is a linear code over GF(3) with n=432, k=9 and d=267.
This code was found by Heurico 1.16 in 0.81 seconds.