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 X 1 X X X 1 X 1 1 1 X 1 1 1 X 1 X
0 X 0 0 0 0 0 0 0 0 0 X 0 0 X X 0 0 0 0 X X X 0 X X X X 0 X X 0 X X X X 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 X 0 0 X 0 X 0 X 0 0 0 X X 0 X X 0
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 X 0 0 0 X 0 X X 0 0 0 0 X
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 X 0 X X 0 0 0 X X X 0 0 X 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 X X X 0 X X X X X X 0 X X X 0
0 0 0 0 0 0 X 0 0 X 0 0 X 0 0 X X X 0 X X 0 X 0 X 0 X 0 0 X 0 X X X X 0 0 X 0 X
0 0 0 0 0 0 0 X 0 X X X X 0 0 0 0 0 X X X X X X 0 X X 0 X X X X X X 0 0 0 0 0 X
0 0 0 0 0 0 0 0 X X X X 0 0 X X X 0 0 0 X 0 0 X 0 0 0 X X 0 X X X 0 0 0 0 X 0 X
generates a code of length 40 over Z2[X]/(X^2) who´s minimum homogenous weight is 32.
Homogenous weight enumerator: w(x)=1x^0+97x^32+16x^34+179x^36+112x^38+242x^40+112x^42+150x^44+16x^46+71x^48+23x^52+4x^56+1x^64
The gray image is a linear code over GF(2) with n=80, k=10 and d=32.
This code was found by Heurico 1.16 in 0.143 seconds.