The generator matrix

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

generates a code of length 51 over Z2[X]/(X^2) who´s minimum homogenous weight is 40.

Homogenous weight enumerator: w(x)=1x^0+43x^40+68x^41+204x^42+280x^43+303x^44+368x^45+461x^46+486x^47+457x^48+566x^49+576x^50+576x^51+554x^52+572x^53+539x^54+492x^55+409x^56+380x^57+323x^58+184x^59+143x^60+84x^61+71x^62+30x^63+10x^64+10x^65+1x^70+1x^90

The gray image is a linear code over GF(2) with n=102, k=13 and d=40.
This code was found by an older version of Heurico in 0 seconds.