The generator matrix

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

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+30x^18+76x^19+122x^20+130x^21+165x^22+210x^23+203x^24+206x^25+199x^26+202x^27+145x^28+126x^29+115x^30+54x^31+36x^32+18x^33+3x^34+2x^35+5x^36

The gray image is a linear code over GF(2) with n=50, k=11 and d=18.
This code was found by Heurico 1.10 in 0.047 seconds.