The generator matrix

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

generates a code of length 50 over Z2[X]/(X^2) who´s minimum homogenous weight is 42.

Homogenous weight enumerator: w(x)=1x^0+96x^42+277x^44+269x^46+301x^48+263x^50+242x^52+258x^54+154x^56+118x^58+41x^60+17x^62+8x^64+3x^66

The gray image is a linear code over GF(2) with n=100, k=11 and d=42.
This code was found by Heurico 1.16 in 0.464 seconds.