The generator matrix

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

generates a code of length 57 over Z2[X]/(X^2) who´s minimum homogenous weight is 49.

Homogenous weight enumerator: w(x)=1x^0+72x^49+119x^50+154x^51+132x^52+122x^53+183x^54+122x^55+99x^56+140x^57+157x^58+110x^59+93x^60+100x^61+116x^62+82x^63+38x^64+68x^65+51x^66+40x^67+14x^68+10x^69+13x^70+4x^71+5x^72+1x^74+1x^76+1x^80

The gray image is a linear code over GF(2) with n=114, k=11 and d=49.
This code was found by Heurico 1.16 in 25.6 seconds.