The generator matrix

 1  0  0  1  1  1  0  1  1  1  X  X  1  0  X  0  1  1  1  0  1  0  1  1  1  1  1  0  X  1  0  X  1  X  1  1  1  1  X  1  1  X  0  X  0  0  1  1  X  1  1  X  1  0  0  0
 0  1  0  0  1  1  1  0  X  1  0  1 X+1  1  X  1  0 X+1  1  1  X  1  1  X  1  0  0  0  0  X  1  1  X  1  1  1  1  X  0 X+1  0  1  1  1  0  1  X  X  1  0  1  1 X+1  1  1  0
 0  0  1  1  1  0  1  0  1 X+1  1  1  X  0  1 X+1  0  X  1  0 X+1  X X+1  1  X  X  1  1  1 X+1  1 X+1  0  X  1  1  0  X  1  0  0  0  1 X+1  1 X+1  0 X+1  1 X+1  X X+1  1  0  1  1
 0  0  0  X  0  0  0  0  0  X  X  0  0  X  0  X  X  0  X  X  0  X  0  X  X  X  X  0  X  X  0  X  0  0  0  X  X  X  X  X  X  X  0  0  0  0  0  0  0  X  0  0  X  0  0  X
 0  0  0  0  X  0  0  0  0  X  0  0  0  0  0  0  0  0  X  0  0  0  X  0  0  0  0  X  X  X  X  X  X  X  X  X  X  X  0  X  X  0  X  X  X  0  0  0  X  X  X  0  X  0  0  0
 0  0  0  0  0  X  0  0  X  X  X  0  X  0  0  X  X  X  X  0  0  0  0  X  X  0  0  0  X  0  X  0  X  X  X  0  0  0  X  0  X  X  0  X  X  X  0  X  0  X  X  X  X  0  0  X
 0  0  0  0  0  0  X  0  X  X  X  0  0  X  0  X  X  X  0  0  X  X  X  0  X  0  X  X  X  0  X  X  0  0  0  X  0  X  0  0  X  X  X  X  0  X  X  0  0  0  X  0  0  X  0  X
 0  0  0  0  0  0  0  X  0  0  0  0  X  0  X  X  X  X  X  X  0  X  X  X  0  X  0  0  X  0  0  X  X  0  0  X  0  0  0  X  0  X  X  X  X  X  0  0  0  0  X  0  0  X  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+148x^48+220x^50+316x^52+252x^54+292x^56+220x^58+240x^60+140x^62+123x^64+56x^66+20x^68+8x^70+12x^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 0.553 seconds.