The generator matrix

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

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+148x^40+330x^42+514x^44+510x^46+579x^48+542x^50+601x^52+366x^54+280x^56+160x^58+42x^60+12x^62+8x^64+3x^68

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 1.62 seconds.