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

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+498x^87+72x^89+1138x^90+900x^92+1518x^93+972x^94+3024x^95+3382x^96+1944x^97+3114x^98+1496x^99+180x^101+764x^102+492x^105+144x^108+38x^111+2x^120+2x^123+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 3.94 seconds.