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

generates a code of length 50 over Z3[X]/(X^3) who´s minimum homogenous weight is 90.

Homogenous weight enumerator: w(x)=1x^0+144x^90+162x^91+192x^92+506x^93+234x^94+414x^95+1332x^96+234x^97+2184x^98+3290x^99+1680x^100+3702x^101+3264x^102+222x^103+516x^104+450x^105+240x^106+210x^107+254x^108+102x^109+66x^110+168x^111+30x^112+6x^113+54x^114+12x^115+8x^117+4x^120+2x^135

The gray image is a linear code over GF(3) with n=450, k=9 and d=270.
This code was found by Heurico 1.16 in 1.51 seconds.