The generator matrix

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

generates a code of length 56 over Z2[X]/(X^2) who´s minimum homogenous weight is 49.

Homogenous weight enumerator: w(x)=1x^0+54x^49+73x^50+74x^51+99x^52+68x^53+78x^54+78x^55+82x^56+80x^57+55x^58+52x^59+35x^60+32x^61+28x^62+40x^63+27x^64+18x^65+15x^66+10x^67+9x^68+4x^69+6x^70+2x^71+2x^72+1x^74+1x^76

The gray image is a linear code over GF(2) with n=112, k=10 and d=49.
This code was found by Heurico 1.16 in 1.15 seconds.