The generator matrix

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

generates a code of length 55 over Z2[X]/(X^2) who´s minimum homogenous weight is 47.

Homogenous weight enumerator: w(x)=1x^0+68x^47+109x^48+116x^49+149x^50+146x^51+147x^52+176x^53+145x^54+130x^55+138x^56+102x^57+109x^58+86x^59+82x^60+76x^61+63x^62+66x^63+50x^64+36x^65+14x^66+16x^67+15x^68+4x^69+2x^72+2x^73

The gray image is a linear code over GF(2) with n=110, k=11 and d=47.
This code was found by an older version of Heurico in 0 seconds.