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

generates a code of length 50 over Z2[X]/(X^2) who´s minimum homogenous weight is 40.

Homogenous weight enumerator: w(x)=1x^0+183x^40+504x^42+796x^44+960x^46+1068x^48+1188x^50+1076x^52+980x^54+787x^56+404x^58+174x^60+60x^62+9x^64+1x^68+1x^84

The gray image is a linear code over GF(2) with n=100, k=13 and d=40.
This code was found by Heurico 1.16 in 6.67 seconds.