The generator matrix

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

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+64x^40+86x^41+117x^42+156x^43+137x^44+168x^45+114x^46+156x^47+196x^48+116x^49+95x^50+100x^51+117x^52+104x^53+93x^54+84x^55+55x^56+38x^57+24x^58+16x^59+6x^60+5x^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 1.16 in 0.369 seconds.