The generator matrix

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

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+72x^40+62x^41+124x^42+168x^43+216x^44+222x^45+230x^46+272x^47+271x^48+300x^49+278x^50+304x^51+241x^52+300x^53+232x^54+208x^55+162x^56+118x^57+116x^58+72x^59+54x^60+22x^61+34x^62+6x^64+10x^66+1x^68

The gray image is a linear code over GF(2) with n=100, k=12 and d=40.
This code was found by Heurico 1.16 in 1.9 seconds.