The generator matrix

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

generates a code of length 52 over Z3[X]/(X^3) who´s minimum homogenous weight is 94.

Homogenous weight enumerator: w(x)=1x^0+72x^94+210x^95+546x^96+1080x^97+1680x^98+2162x^99+3120x^100+4338x^101+4704x^102+7302x^103+7104x^104+6286x^105+7524x^106+5292x^107+3512x^108+1950x^109+996x^110+378x^111+180x^112+210x^113+90x^114+126x^115+66x^116+52x^117+24x^118+30x^119+6x^120+6x^121+2x^123

The gray image is a linear code over GF(3) with n=468, k=10 and d=282.
This code was found by Heurico 1.16 in 7.25 seconds.