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 X 1 1 X 1 X 1 1 1 1 X 1 1 X 1 1 1 X X 1 1 1 1 X X
0 X 0 0 0 0 0 0 0 0 0 X 0 0 X X 0 0 0 0 X X X X 0 0 0 X X X X 0 X X X 0 0 X 0 0 X X 0 X 0 X 0 0 0
0 0 X 0 0 0 0 0 0 0 0 X X X X X 0 0 0 X X 0 0 0 X X 0 0 X X X X 0 X 0 X 0 0 X 0 0 0 X 0 0 X 0 0 X
0 0 0 X 0 0 0 0 0 0 X 0 X X 0 X X 0 X 0 X X X X X X 0 0 X X 0 0 0 0 0 0 X X 0 0 X X 0 X X 0 X 0 0
0 0 0 0 X 0 0 0 0 0 X 0 0 X X X X X 0 X 0 0 0 0 0 0 X X X 0 X 0 X 0 0 0 X X 0 0 X 0 0 X X X 0 X 0
0 0 0 0 0 X 0 0 0 X 0 0 0 X X 0 X 0 X X X 0 0 X X 0 0 X X X 0 X 0 X X 0 X X X X X X X 0 0 0 0 0 X
0 0 0 0 0 0 X 0 0 X 0 0 X 0 0 X X X 0 X X 0 X X 0 X X X X 0 0 0 0 X 0 X X 0 X 0 0 0 0 0 X 0 X X X
0 0 0 0 0 0 0 X 0 X X X X 0 0 0 0 0 X X X X X 0 X X X 0 0 0 0 0 0 0 X X X 0 0 0 X 0 X X 0 X 0 X X
0 0 0 0 0 0 0 0 X X X X 0 0 X X X 0 0 0 X 0 0 0 X X 0 0 X 0 0 0 X 0 0 X X X X X 0 X X X 0 X X X X
generates a code of length 49 over Z2[X]/(X^2) who´s minimum homogenous weight is 40.
Homogenous weight enumerator: w(x)=1x^0+76x^40+10x^42+162x^44+80x^46+217x^48+132x^50+180x^52+32x^54+84x^56+2x^58+26x^60+21x^64+1x^80
The gray image is a linear code over GF(2) with n=98, k=10 and d=40.
This code was found by Heurico 1.16 in 0.175 seconds.