The generator matrix

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

generates a code of length 56 over Z2[X]/(X^2) who´s minimum homogenous weight is 46.

Homogenous weight enumerator: w(x)=1x^0+112x^46+268x^48+398x^50+523x^52+518x^54+524x^56+539x^58+459x^60+361x^62+219x^64+100x^66+41x^68+16x^70+12x^72+3x^74+1x^76+1x^78

The gray image is a linear code over GF(2) with n=112, k=12 and d=46.
This code was found by Heurico 1.16 in 2.15 seconds.