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

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+82x^87+54x^88+144x^89+1066x^90+432x^91+666x^92+2170x^93+1296x^94+1512x^95+3982x^96+1728x^97+1692x^98+2932x^99+864x^100+360x^101+546x^102+108x^105+38x^108+2x^114+2x^117+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 0.824 seconds.