The generator matrix

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

generates a code of length 48 over Z3[X]/(X^3) who´s minimum homogenous weight is 90.

Homogenous weight enumerator: w(x)=1x^0+504x^90+684x^91+1578x^92+2662x^93+1524x^94+1962x^95+2632x^96+1536x^97+1884x^98+1774x^99+972x^100+888x^101+896x^102+132x^103+14x^105+12x^106+6x^107+16x^108+6x^111

The gray image is a linear code over GF(3) with n=432, k=9 and d=270.
This code was found by Heurico 1.16 in 0.589 seconds.