The generator matrix

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

generates a code of length 50 over Z3[X]/(X^3) who´s minimum homogenous weight is 87.

Homogenous weight enumerator: w(x)=1x^0+70x^87+18x^88+78x^89+268x^90+306x^91+816x^92+780x^93+1278x^94+3054x^95+1976x^96+4356x^97+7446x^98+3580x^99+6516x^100+10140x^101+3582x^102+5094x^103+5358x^104+1648x^105+1350x^106+732x^107+266x^108+36x^109+60x^110+124x^111+12x^113+36x^114+6x^116+32x^117+10x^120+14x^123+2x^126+4x^129

The gray image is a linear code over GF(3) with n=450, k=10 and d=261.
This code was found by Heurico 1.16 in 7.13 seconds.