The generator matrix

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

generates a code of length 31 over Z3[X]/(X^2) who´s minimum homogenous weight is 50.

Homogenous weight enumerator: w(x)=1x^0+264x^50+434x^51+516x^52+1206x^53+1358x^54+1194x^55+2838x^56+2606x^57+1944x^58+4770x^59+4214x^60+3042x^61+6966x^62+4968x^63+3624x^64+6270x^65+4002x^66+1902x^67+3030x^68+1666x^69+780x^70+810x^71+396x^72+114x^73+90x^74+30x^75+6x^76+2x^78+4x^84+2x^87

The gray image is a linear code over GF(3) with n=93, k=10 and d=50.
This code was found by Heurico 1.16 in 18.9 seconds.