The generator matrix

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

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+122x^48+264x^50+294x^52+292x^54+281x^56+204x^58+202x^60+168x^62+93x^64+84x^66+24x^68+12x^70+7x^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 1.10 in 0.172 seconds.