The generator matrix

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

generates a code of length 56 over Z2[X]/(X^2) who´s minimum homogenous weight is 48.

Homogenous weight enumerator: w(x)=1x^0+124x^48+262x^50+337x^52+246x^54+264x^56+220x^58+190x^60+168x^62+131x^64+54x^66+33x^68+10x^70+8x^72

The gray image is a linear code over GF(2) with n=112, k=11 and d=48.
This code was found by Heurico 1.16 in 0.476 seconds.