The generator matrix

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

generates a code of length 49 over Z2[X]/(X^2) who´s minimum homogenous weight is 40.

Homogenous weight enumerator: w(x)=1x^0+116x^40+389x^42+474x^44+550x^46+540x^48+609x^50+504x^52+402x^54+292x^56+137x^58+54x^60+24x^62+3x^64+1x^66

The gray image is a linear code over GF(2) with n=98, k=12 and d=40.
This code was found by Heurico 1.16 in 1.57 seconds.