The generator matrix

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

generates a code of length 56 over Z2[X]/(X^2) who´s minimum homogenous weight is 50.

Homogenous weight enumerator: w(x)=1x^0+75x^50+70x^52+102x^54+67x^56+68x^58+39x^60+62x^62+9x^64+9x^66+2x^68+4x^70+1x^72+1x^76+2x^80

The gray image is a linear code over GF(2) with n=112, k=9 and d=50.
This code was found by Heurico 1.16 in 0.422 seconds.