The generator matrix

 1  0  1  1  1  1  1  0  1  1 2X^2  1  1  1  1 2X  1  1 2X^2  1  1 2X^2  1  1  1 2X^2  1  1  1  1  1  1  1  1 X^2+2X  1  1 X^2+X  1 2X^2+2X  1 X^2+X  1  1  1 2X^2+X  1  1  1  1
 0  1  1  2 2X^2 2X+1 2X^2+2  1  0 2X^2+X+1  1 2X^2+X+2  0  2 2X^2+1  1 X+1 2X+2  1 2X^2 X+1  1 2X^2+2X 2X^2+X X^2+2X+2  1 2X^2+2X+2 X+1 X^2+2X+1 X^2+2X 2X^2 X^2+X+1 2X^2+2X+2 2X+2  1 X^2+2X X^2+X+2  1 X^2+X  1 2X^2+2  1 X+2 X^2+2X  2  1 2X^2+2X+1 2X^2+2X 2X^2+2X  0
 0  0 2X  0 2X^2  0 2X^2+X 2X 2X^2 2X^2+X X^2+X 2X X^2+2X  0 2X X^2+X  X 2X^2+2X X^2+X X^2+X X^2 X^2 X^2+X X^2+2X X^2 X^2+2X 2X X^2 X^2+X 2X^2+X X^2+2X X^2+2X 2X^2+X 2X^2 2X^2+2X X^2 X^2+X  X X^2 2X  0 X^2 2X  X X^2+X 2X^2+X X^2+X  0 2X  0
 0  0  0  X 2X^2+X X^2+X 2X^2 X^2 2X 2X X^2 2X 2X^2+2X 2X^2+2X X^2+2X 2X^2+X  0 2X^2 2X 2X^2 2X  X 2X^2+2X 2X^2 2X^2 2X  X  0  X  X  X X^2+X X^2+X 2X^2 X^2+X 2X^2+2X 2X  X X^2+X 2X^2+2X  0 2X^2+2X X^2+X  X X^2+X 2X 2X^2+2X 2X 2X^2+2X X^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+70x^90+270x^91+426x^92+1090x^93+1728x^94+1458x^95+3582x^96+4956x^97+3408x^98+8276x^99+7398x^100+5226x^101+8602x^102+6228x^103+2154x^104+2026x^105+984x^106+312x^107+284x^108+198x^109+108x^110+116x^111+108x^112+24x^113+8x^114+6x^116+2x^120

The gray image is a linear code over GF(3) with n=450, k=10 and d=270.
This code was found by Heurico 1.16 in 6.92 seconds.