The generator matrix

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

generates a code of length 49 over Z3[X]/(X^3) who´s minimum homogenous weight is 88.

Homogenous weight enumerator: w(x)=1x^0+186x^88+210x^89+524x^90+1158x^91+1218x^92+2172x^93+3156x^94+4128x^95+5546x^96+6528x^97+7314x^98+7140x^99+6528x^100+5250x^101+3894x^102+2424x^103+642x^104+244x^105+306x^106+126x^107+132x^108+90x^109+48x^110+16x^111+36x^112+18x^113+2x^114+6x^117+2x^120+4x^123

The gray image is a linear code over GF(3) with n=441, k=10 and d=264.
This code was found by Heurico 1.16 in 66.9 seconds.