The generator matrix

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

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+218x^90+162x^91+426x^92+1496x^93+1146x^94+1992x^95+3978x^96+3108x^97+5256x^98+8108x^99+5262x^100+7608x^101+8172x^102+4080x^103+3324x^104+2890x^105+690x^106+198x^107+476x^108+102x^109+120x^110+124x^111+30x^112+30x^113+38x^114+8x^117+6x^123

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 7.28 seconds.