The generator matrix

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

generates a code of length 48 over Z2[X]/(X^2) who´s minimum homogenous weight is 40.

Homogenous weight enumerator: w(x)=1x^0+41x^40+94x^41+117x^42+168x^43+160x^44+146x^45+166x^46+140x^47+126x^48+118x^49+134x^50+120x^51+109x^52+106x^53+82x^54+76x^55+32x^56+44x^57+41x^58+8x^59+11x^60+4x^61+4x^62

The gray image is a linear code over GF(2) with n=96, k=11 and d=40.
This code was found by Heurico 1.10 in 0.14 seconds.