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

generates a code of length 48 over Z3[X]/(X^3) who´s minimum homogenous weight is 87.

Homogenous weight enumerator: w(x)=1x^0+438x^87+1312x^90+180x^91+486x^92+1686x^93+1890x^94+1944x^95+2772x^96+3456x^97+1944x^98+1826x^99+306x^100+768x^102+456x^105+180x^108+30x^111+6x^114+2x^126

The gray image is a linear code over GF(3) with n=432, k=9 and d=261.
This code was found by Heurico 1.16 in 1.41 seconds.