The generator matrix

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

generates a code of length 31 over Z3[X]/(X^2) who´s minimum homogenous weight is 49.

Homogenous weight enumerator: w(x)=1x^0+84x^49+180x^50+406x^51+690x^52+1086x^53+996x^54+1920x^55+2124x^56+2086x^57+3540x^58+4272x^59+3238x^60+4992x^61+5754x^62+3754x^63+5682x^64+5154x^65+3256x^66+3666x^67+2622x^68+1150x^69+1122x^70+612x^71+346x^72+174x^73+66x^74+52x^75+12x^78+6x^81+6x^84

The gray image is a linear code over GF(3) with n=93, k=10 and d=49.
This code was found by Heurico 1.16 in 18 seconds.