The generator matrix

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

generates a code of length 48 over Z2[X]/(X^3) who´s minimum homogenous weight is 42.

Homogenous weight enumerator: w(x)=1x^0+53x^42+86x^43+204x^44+152x^45+281x^46+164x^47+278x^48+160x^49+221x^50+120x^51+130x^52+60x^53+81x^54+12x^55+21x^56+8x^57+2x^58+2x^59+5x^60+4x^61+2x^62+1x^68

The gray image is a linear code over GF(2) with n=192, k=11 and d=84.
This code was found by Heurico 1.16 in 0.194 seconds.