The generator matrix

 1  0  0  0  1  1  1  0  1  1  1  X  1  0  0  1  X  0  X  1  1  0  1  1  X  1  0  0  X  X  X  1  1  1  0  1  0  1  0  1  1  1  1  0  1  1  0  1
 0  1  0  0  0  1  1  1 X+1  X  1  1  0  1  X  0  1  1  X X+1  0  1  0  1  X X+1  1  0  X  1  X  0 X+1  0  1  X  X  1  X  X  1  0  1  1  X  0  X  X
 0  0  1  0  1  1  0  1  1  1  X  0  X  1  1 X+1  0  1  1 X+1  X  1  X  0  X X+1 X+1  1  1  X  1 X+1 X+1  X X+1  X  1  0  X  X X+1 X+1  0  X  0 X+1  1  0
 0  0  0  1  1  0  1 X+1 X+1  0  X X+1  1  X  1  1  1 X+1  0  X  X  X X+1 X+1  1  1 X+1 X+1  0  0  X X+1  1  0  X  X  1 X+1  1  X X+1  1  0  0  0  X X+1  1
 0  0  0  0  X  0  0  X  X  X  X  X  0  0  0  X  X  X  0  0  0  0  0  0  0  X  X  0  X  0  X  0  X  X  0  X  X  0  0  X  0  X  X  X  0  0  X  0
 0  0  0  0  0  X  0  0  0  0  X  X  0  X  X  0  X  0  0  0  X  0  X  X  X  X  X  X  X  0  X  0  X  X  X  0  X  X  0  0  0  X  0  X  0  0  X  X
 0  0  0  0  0  0  X  0  0  X  X  0  X  X  0  X  X  X  X  X  X  0  0  X  X  X  X  X  0  X  X  X  0  0  0  0  0  0  X  X  0  X  X  X  X  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+86x^40+262x^42+281x^44+307x^46+288x^48+249x^50+234x^52+159x^54+109x^56+45x^58+24x^60+2x^62+1x^68

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 0.381 seconds.