The generator matrix

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

generates a code of length 48 over Z2[X]/(X^3) who´s minimum homogenous weight is 40.

Homogenous weight enumerator: w(x)=1x^0+52x^40+134x^41+256x^42+388x^43+525x^44+662x^45+743x^46+936x^47+943x^48+796x^49+839x^50+692x^51+442x^52+324x^53+174x^54+112x^55+80x^56+30x^57+28x^58+16x^59+5x^60+6x^61+7x^62+1x^66

The gray image is a linear code over GF(2) with n=192, k=13 and d=80.
This code was found by Heurico 1.16 in 2.94 seconds.