The generator matrix

 1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  X  X  1  1  1  1  1  1  X  1  1  X  1  1  X  1  1  X  1  X  X  X  X  1
 0  X  0  0  0  0  0  0  0  0  0  0  0  X  X  X  0  0  0  0  X  X  X  X  0  X  X  0  X  X  0  X  X  0  0  0  0  X  0  0  0  X  X  0  X  0  X  X  0  X  0  0  X  X  X  0
 0  0  X  0  0  0  0  0  0  0  0  X  X  X  X  X  0  X  X  X  0  X  X  X  0  X  X  0  0  0  0  0  0  0  X  X  0  X  X  X  X  0  X  0  0  0  0  X  0  X  X  0  0  0  0  0
 0  0  0  X  0  0  0  0  0  0  X  X  X  0  X  X  0  X  X  0  0  0  0  0  0  0  0  X  0  X  X  0  X  X  X  0  X  X  0  0  X  X  0  X  X  X  0  0  X  0  X  0  0  0  X  0
 0  0  0  0  X  0  0  0  0  0  X  0  X  0  X  0  X  0  X  X  X  0  0  X  0  X  X  X  X  X  X  X  0  0  0  0  0  0  X  X  0  X  X  X  0  0  0  X  0  0  X  X  X  X  X  X
 0  0  0  0  0  X  0  0  0  X  0  0  X  0  0  X  X  X  X  0  X  0  X  X  0  X  0  0  X  X  X  0  X  0  X  X  0  0  0  0  0  0  X  X  X  X  X  0  0  X  X  0  0  0  0  0
 0  0  0  0  0  0  X  0  0  X  0  X  0  X  0  0  0  X  0  0  0  X  X  X  X  X  0  0  X  0  X  0  X  X  0  0  X  X  X  0  X  0  0  X  0  X  0  0  0  X  X  X  0  0  X  0
 0  0  0  0  0  0  0  X  0  X  X  X  0  X  0  X  0  0  X  X  X  0  0  X  X  X  X  0  0  X  0  0  X  0  0  0  X  0  0  0  X  0  X  X  0  0  X  X  X  0  X  0  0  0  X  0
 0  0  0  0  0  0  0  0  X  X  X  0  0  X  X  X  X  X  0  X  0  X  0  X  X  0  X  0  X  X  X  0  X  X  X  X  0  0  X  0  X  X  X  0  X  0  0  0  0  0  X  0  0  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+163x^48+18x^50+120x^52+120x^54+231x^56+92x^58+99x^60+24x^62+120x^64+2x^66+20x^68+13x^72+1x^92

The gray image is a linear code over GF(2) with n=112, k=10 and d=48.
This code was found by Heurico 1.16 in 31 seconds.