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

generates a code of length 49 over Z3[X]/(X^3) who´s minimum homogenous weight is 88.

Homogenous weight enumerator: w(x)=1x^0+138x^88+228x^89+122x^90+438x^91+558x^92+254x^93+696x^94+1524x^95+2040x^96+1140x^97+4026x^98+3628x^99+1116x^100+1818x^101+412x^102+438x^103+354x^104+44x^105+234x^106+174x^107+30x^108+120x^109+54x^110+12x^111+54x^112+12x^113+2x^114+8x^117+4x^120+2x^123+2x^129

The gray image is a linear code over GF(3) with n=441, k=9 and d=264.
This code was found by Heurico 1.16 in 1.78 seconds.