The generator matrix

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

generates a code of length 32 over Z3[X]/(X^2) who´s minimum homogenous weight is 48.

Homogenous weight enumerator: w(x)=1x^0+38x^48+12x^49+54x^50+238x^51+132x^52+402x^53+724x^54+576x^55+1506x^56+1636x^57+1266x^58+3492x^59+3078x^60+2778x^61+5982x^62+4612x^63+3330x^64+7014x^65+4680x^66+2868x^67+5364x^68+3092x^69+1734x^70+2040x^71+1138x^72+414x^73+390x^74+328x^75+12x^76+70x^78+32x^81+14x^84+2x^87

The gray image is a linear code over GF(3) with n=96, k=10 and d=48.
This code was found by Heurico 1.16 in 16.8 seconds.