The generator matrix

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

generates a code of length 31 over Z3[X]/(X^2) who´s minimum homogenous weight is 48.

Homogenous weight enumerator: w(x)=1x^0+182x^48+30x^49+96x^50+764x^51+348x^52+504x^53+2042x^54+1038x^55+1260x^56+4146x^57+1992x^58+2760x^59+7276x^60+3498x^61+3582x^62+8508x^63+3558x^64+3006x^65+6110x^66+1974x^67+1572x^68+2944x^69+636x^70+342x^71+642x^72+48x^73+144x^75+32x^78+12x^81+2x^84

The gray image is a linear code over GF(3) with n=93, k=10 and d=48.
This code was found by Heurico 1.16 in 17 seconds.