The generator matrix
1 0 1 1 1 0 1 1 1 1 0 X 1 1 1 0 1 0 1 1 1 1 1 1 1
0 1 1 0 1 1 0 1 X X+1 1 1 0 0 X+1 1 X+1 1 X+1 X+1 0 X+1 X+1 0 0
0 0 X 0 0 0 0 0 0 X 0 0 X X X 0 X X 0 X 0 X X X 0
0 0 0 X 0 0 0 0 X 0 0 0 X 0 X 0 0 X X X X X X 0 0
0 0 0 0 X 0 0 0 0 X X X 0 X 0 0 X 0 X X 0 0 X X X
0 0 0 0 0 X 0 0 0 0 X 0 X X 0 X X X X X 0 X 0 0 X
0 0 0 0 0 0 X 0 X 0 X X X X 0 0 0 0 X 0 X 0 X X 0
0 0 0 0 0 0 0 X 0 X X X X 0 X X 0 0 0 X X X X X X
generates a code of length 25 over Z2[X]/(X^2) who´s minimum homogenous weight is 18.
Homogenous weight enumerator: w(x)=1x^0+25x^18+16x^19+61x^20+64x^21+81x^22+112x^23+96x^24+128x^25+94x^26+112x^27+70x^28+64x^29+46x^30+16x^31+23x^32+9x^34+5x^36+1x^38
The gray image is a linear code over GF(2) with n=50, k=10 and d=18.
This code was found by Heurico 1.16 in 0.0628 seconds.