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

generates a code of length 49 over Z3[X]/(X^3) who´s minimum homogenous weight is 86.

Homogenous weight enumerator: w(x)=1x^0+6x^86+202x^87+162x^88+222x^89+490x^90+684x^91+1086x^92+2244x^93+2370x^94+5226x^95+5912x^96+4602x^97+9438x^98+7628x^99+4638x^100+6684x^101+4134x^102+1950x^103+600x^104+326x^105+150x^106+60x^107+88x^108+24x^109+6x^110+38x^111+34x^114+28x^117+8x^120+6x^123+2x^129

The gray image is a linear code over GF(3) with n=441, k=10 and d=258.
This code was found by Heurico 1.16 in 7.03 seconds.