The generator matrix
1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 X X X X 1 1 1
0 X 0 0 0 0 0 0 0 0 0 X 0 0 X X X X 0 0 X X 0 0 0
0 0 X 0 0 0 0 0 0 0 0 X X X X X 0 0 0 0 X X X X 0
0 0 0 X 0 0 0 0 0 0 X 0 X X 0 X X 0 0 X 0 X X X 0
0 0 0 0 X 0 0 0 0 0 X 0 0 X X X 0 X X X 0 0 0 0 0
0 0 0 0 0 X 0 0 0 X 0 0 0 X X X X 0 X 0 0 X 0 0 0
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
0 0 0 0 0 0 0 X 0 X X X X 0 0 X 0 0 0 0 X X 0 0 0
0 0 0 0 0 0 0 0 X X X X 0 0 X 0 0 X X 0 0 X X X 0
generates a code of length 25 over Z2[X]/(X^2) who´s minimum homogenous weight is 16.
Homogenous weight enumerator: w(x)=1x^0+37x^16+24x^18+78x^20+64x^21+48x^22+74x^24+384x^25+73x^26+40x^28+64x^29+68x^30+24x^32+38x^34+2x^36+4x^38+1x^42
The gray image is a linear code over GF(2) with n=50, k=10 and d=16.
This code was found by Heurico 1.16 in 0.0435 seconds.