The generator matrix

 1  0  0  0  1  1  1  X  1  1  0  1  1  0  X  1  1  X  1  1  0  1  0  0  0  1  X  X  1  1  0  X  0  X  1  0  X  1  X  1  1  0  1  1  1  X  X  0  0  1  0  X  1  1  1  1
 0  1  0  0  0  0  0  0  1  1  1  1 X+1  1  1  X  0  1  X  1  X  1  0  X  1 X+1  1  1  1  0  X  X  1  0  0  1  0  1  X  0 X+1  1  X  X  X  1  1  0  1 X+1  0  1  1  X  0 X+1
 0  0  1  0  0  1 X+1  1 X+1  1  X  0  0  1  1  X  0  X X+1 X+1  1  X  1  0 X+1  X X+1  1  1  X  0  1  1  1  X  1  1  0  1  X  1  0  0  X  1  0  1  1 X+1  0  0 X+1  X X+1  X  1
 0  0  0  1  1  1  0  1  X X+1  1  1  0 X+1  0  0 X+1  1  X  X  0  1  1  1  1  X  0  1 X+1  0  1  X  0 X+1 X+1 X+1  X  0  1  0 X+1 X+1  0  X  X X+1  0  1 X+1  X  1 X+1  X  0 X+1 X+1
 0  0  0  0  X  0  0  0  0  0  0  0  0  0  0  0  0  0  0  X  X  X  X  X  0  X  X  X  X  X  X  0  0  0  0  X  X  X  X  X  X  0  0  X  0  X  X  X  0  X  0  0  0  X  X  X
 0  0  0  0  0  X  X  0  X  X  0  X  X  0  0  X  X  X  0  0  X  0  0  X  X  X  0  X  X  0  0  X  X  X  0  0  0  0  0  X  0  X  X  0  X  0  0  X  X  X  X  X  X  0  0  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+150x^50+190x^52+159x^54+163x^56+112x^58+83x^60+55x^62+48x^64+27x^66+19x^68+6x^70+8x^72+3x^74

The gray image is a linear code over GF(2) with n=112, k=10 and d=50.
This code was found by Heurico 1.16 in 0.311 seconds.