The generator matrix

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

generates a code of length 48 over Z2[X]/(X^3) who´s minimum homogenous weight is 41.

Homogenous weight enumerator: w(x)=1x^0+58x^41+261x^42+472x^43+656x^44+656x^45+796x^46+914x^47+799x^48+836x^49+730x^50+686x^51+502x^52+340x^53+244x^54+94x^55+88x^56+26x^57+17x^58+10x^59+2x^60+4x^61

The gray image is a linear code over GF(2) with n=192, k=13 and d=82.
This code was found by Heurico 1.16 in 1.89 seconds.