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

generates a code of length 49 over Z3[X]/(X^3) who´s minimum homogenous weight is 89.

Homogenous weight enumerator: w(x)=1x^0+336x^89+304x^90+738x^92+378x^93+324x^94+930x^95+2304x^96+1296x^97+4908x^98+4312x^99+1296x^100+894x^101+372x^102+504x^104+174x^105+282x^107+108x^108+114x^110+58x^111+42x^113+6x^114+2x^138

The gray image is a linear code over GF(3) with n=441, k=9 and d=267.
This code was found by Heurico 1.16 in 3.15 seconds.