The generator matrix

1 0 0 0 0 0 1 1 1 X 0 0 0 0 1 1 1 X 0 1 1 1 0 0 X 1 1 X 0 1 1 0 0 X X 1 0 1 1 X 1 1 1 X 1 1 1 1 X X X 1 X X 1 0
0 1 0 0 0 0 0 0 0 0 1 X 1 1 0 X+1 X 1 1 X X+1 X+1 0 X 1 X+1 X 1 1 X+1 X X 1 1 X X+1 0 1 1 1 X X X 1 X 1 X X 0 1 1 1 1 X 0 0
0 0 1 0 0 0 0 0 0 0 X 1 1 X+1 X+1 1 1 0 X+1 X+1 X X+1 1 X 0 0 0 X 0 X+1 X+1 1 1 X+1 X X 1 X 1 X+1 0 X+1 X X 0 X+1 X 0 X 1 1 0 X 1 0 X
0 0 0 1 0 0 0 1 1 1 1 1 0 1 X 0 X+1 X X+1 0 1 X+1 X+1 1 X+1 X+1 X 0 1 0 1 1 X X 1 1 0 X+1 0 X X+1 X+1 0 0 1 X+1 X 1 1 1 X X+1 X+1 X+1 X+1 0
0 0 0 0 1 0 1 0 X+1 1 1 1 X X+1 1 1 X X+1 0 0 X+1 0 0 X X X 0 X X+1 0 1 1 X 1 1 X+1 0 0 X+1 X+1 0 1 X+1 1 X+1 0 X X X+1 X 0 1 X+1 0 X+1 1
0 0 0 0 0 1 1 X+1 X 1 0 X 1 X+1 X X+1 0 1 0 X+1 1 1 X+1 X X+1 X 0 0 0 0 1 0 X+1 0 1 1 X X+1 X X+1 X 1 1 X X+1 X+1 X+1 0 1 1 0 0 X 0 X X
0 0 0 0 0 0 X X 0 0 0 0 0 0 X X X X X 0 0 X X X X 0 X X X X X X X 0 X X X 0 0 X X 0 0 X 0 X X 0 X X X X 0 0 X 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+254x^46+545x^48+810x^50+980x^52+1015x^54+1005x^56+1134x^58+884x^60+764x^62+468x^64+222x^66+80x^68+23x^70+4x^72+2x^74+1x^88

The gray image is a linear code over GF(2) with n=112, k=13 and d=46.
This code was found by Heurico 1.10 in 2.73 seconds.