The generator matrix

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

generates a code of length 48 over Z2[X]/(X^2) who´s minimum homogenous weight is 38.

Homogenous weight enumerator: w(x)=1x^0+181x^38+499x^40+763x^42+951x^44+1138x^46+1195x^48+1034x^50+982x^52+809x^54+425x^56+170x^58+43x^60+1x^90

The gray image is a linear code over GF(2) with n=96, k=13 and d=38.
This code was found by Heurico 1.16 in 6.41 seconds.