The generator matrix

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

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+294x^90+468x^91+2526x^92+2774x^93+3882x^94+8262x^95+8220x^96+11832x^97+18540x^98+16752x^99+20076x^100+25626x^101+16688x^102+14622x^103+14298x^104+6048x^105+2874x^106+2082x^107+830x^108+156x^109+72x^110+104x^111+18x^112+30x^113+42x^114+18x^115+6x^116+6x^117

The gray image is a linear code over GF(3) with n=450, k=11 and d=270.
This code was found by Heurico 1.16 in 47.7 seconds.