The generator matrix

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

generates a code of length 51 over Z2[X]/(X^2) who´s minimum homogenous weight is 43.

Homogenous weight enumerator: w(x)=1x^0+46x^43+94x^44+122x^45+152x^46+174x^47+181x^48+136x^49+125x^50+144x^51+149x^52+114x^53+85x^54+100x^55+91x^56+98x^57+63x^58+42x^59+49x^60+36x^61+23x^62+6x^63+11x^64+6x^65

The gray image is a linear code over GF(2) with n=102, k=11 and d=43.
This code was found by an older version of Heurico in 0 seconds.