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

generates a code of length 49 over Z3[X]/(X^3) who´s minimum homogenous weight is 87.

Homogenous weight enumerator: w(x)=1x^0+190x^87+210x^88+248x^90+444x^91+162x^92+666x^93+702x^94+972x^95+3214x^96+888x^97+1944x^98+5052x^99+1014x^100+1296x^101+1116x^102+750x^103+252x^105+306x^106+110x^108+54x^109+6x^112+56x^114+16x^117+14x^123

The gray image is a linear code over GF(3) with n=441, k=9 and d=261.
This code was found by Heurico 1.16 in 6.46 seconds.