The generator matrix

 1  0  0  0  1  1  1 2X^2  1  1  1  1  1  1 2X^2+2X X^2+2X  1  1  X  1  1  1 2X  1  1 X^2+X  1  1  1  1  1 X^2  1  X X^2+2X  1 2X^2+X  1  1  1  1  1  1  1  1  1  1  1 2X^2+2X  1
 0  1  0  0 2X^2  1 X^2+1  1  X X^2+X 2X^2+2X+2 X^2+2 2X^2+X+1 X^2+X+1  1  1 2X+1 2X^2+2  1 2X+2 2X^2+2X+1 2X  1 2X^2+2X X^2+2X+1 X^2 X^2+2X+1 X^2+X+2 X^2+2X+2 X^2+2 2X^2+X+1  1 2X^2+X+2 2X^2+2X  1 2X^2+2  1 2X^2+X  0  X X+2 2X+2 X^2+1 X^2+2X 2X^2+X 2X X+2 2X^2+2X+1  1 2X^2+X
 0  0  1  0 2X^2+2X+1 2X+1 2X^2+X+2 2X^2+2X+1 X+1 X+2 2X^2 2X^2+X+1 2X^2+X X^2+2X+2  2 X^2+X+1 2X+1  2 2X^2+2 2X+2 2X^2 X^2+X+2 2X^2+X X^2+2 2X+2  1 X^2+X+1 2X  X 2X^2+2X+1 X^2+2X 2X^2+X X+1  1 X^2+2X+1 2X^2+2X 2X X^2+2 2X 2X^2+1 2X^2+X X^2+X X+1 X^2+1 2X^2+2X 2X^2 2X^2+2X+2 X^2+2 X^2 2X^2+X+1
 0  0  0  1 2X^2+2X+2 X^2 X^2+2X+2 X^2+2X+2  1 X^2+X 2X^2+1 2X^2+2X 2X^2 2X^2+2X+1 X^2+2X 2X^2+2X+1 X^2+2  0 2X+1 2X^2+2X+2 X+1  1 2X^2+X+2  2 2X^2+X 2X^2+2X+1 X^2+2X+1  X 2X^2+X+2 2X^2+2X+1 2X+2 2X^2+1 2X^2+2 X^2+2X+2 X^2+X X^2+X+1  0 X^2+2X 2X^2+X+2 X^2+2X+1 2X^2+2X+2  X X^2+X+2 X^2 X+1 X^2+X 2X^2+2X+1 X+2 2X^2+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+1464x^90+2370x^91+4944x^92+10920x^93+12636x^94+19314x^95+32052x^96+34212x^97+43302x^98+63174x^99+57186x^100+61866x^101+69030x^102+45000x^103+32370x^104+23442x^105+9756x^106+4314x^107+3080x^108+636x^109+60x^110+186x^111+36x^112+30x^113+36x^114+6x^115+12x^116+6x^117

The gray image is a linear code over GF(3) with n=450, k=12 and d=270.
This code was found by Heurico 1.16 in 450 seconds.