The generator matrix

 1  0  0  0  0  0  1  1  1  X  0  0  0  0  1  1  1  X  X  0  1  1  0  X  1  1  1  1  1  1  1  X  1  1  X  1  0  1  1  1  0  1  1  1  0  1  1  1  1  1  1  1  0  1  1  0
 0  1  0  0  0  0  0  0  0  0  1  X  1  1  0  1  X  1  0  X  1  1  1  1 X+1 X+1  0  X  1  1 X+1  1 X+1  0  X  1  X  0 X+1  X  0  0  X  1  1 X+1 X+1  1  1  1  1 X+1  X X+1  X  1
 0  0  1  0  0  0  0  0  0  0  X  1  1 X+1 X+1 X+1  1  X  1  1  X  1  0 X+1  0 X+1 X+1 X+1  0  0  X  X X+1  X  0 X+1  X X+1 X+1  0  X  1  1  1 X+1  X X+1  X  1 X+1  0 X+1  1 X+1 X+1  1
 0  0  0  1  0  0  0  1  1  1 X+1 X+1  1  X  0 X+1  1 X+1  X  1  X  0  0  1  X  1  X  1 X+1 X+1  X X+1 X+1  1  0  X  1  0  0  0  1 X+1 X+1  1  0 X+1 X+1  X  1  1  1  0 X+1  0 X+1 X+1
 0  0  0  0  1  0  1  1  X X+1  1  1  1  0 X+1  0  X  X X+1  0  X X+1  1  0  1  1  0 X+1  0  X  0  0  0  1  1  1 X+1  X  1 X+1  1 X+1  X  X  1 X+1  X  X X+1  X  0  0  1  1  X X+1
 0  0  0  0  0  1  1  X X+1  1  0  X  1 X+1  0 X+1  0  1  1 X+1 X+1 X+1  1  0  0  X  1  1  X  0 X+1  1  1  0  0 X+1  X  0  X  0  X  0 X+1  0  1  0  X  X  X  0  1 X+1  1  0  0  X
 0  0  0  0  0  0  X  0  X  0  0  0  0  0  X  X  X  X  X  X  0  X  X  X  X  X  X  X  0  0  X  0  0  X  X  0  X  0  0  0  X  X  X  0  0  0  0  X  X  X  0  0  X  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+263x^46+551x^48+837x^50+876x^52+1004x^54+1128x^56+1078x^58+941x^60+695x^62+494x^64+193x^66+102x^68+22x^70+2x^72+4x^74+1x^76

The gray image is a linear code over GF(2) with n=112, k=13 and d=46.
This code was found by Heurico 1.16 in 20.7 seconds.