The generator matrix

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

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+30x^50+36x^51+53x^52+58x^53+52x^54+58x^55+35x^56+42x^57+15x^58+24x^59+25x^60+16x^61+8x^62+2x^63+10x^64+10x^65+22x^66+8x^67+2x^68+2x^69+2x^72+1x^74

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 0.047 seconds.