The generator matrix 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 X X X 0 X X 1 1 1 0 X 0 0 0 0 0 0 0 0 X X 0 0 0 X X X 0 0 X X X 0 0 0 0 X 0 0 0 0 0 0 X X X 0 X X 0 X X X X X X X 0 X 0 0 0 X 0 0 0 0 0 X 0 X X X 0 X 0 X X 0 0 0 X 0 X 0 0 0 0 X 0 0 0 X 0 0 X X 0 X X 0 0 X X 0 X X 0 0 0 0 0 0 0 X 0 0 X 0 X 0 0 X X X 0 X X 0 X 0 X X 0 0 0 0 0 0 0 X 0 X X X 0 0 0 X X X 0 X 0 0 X 0 0 0 0 0 0 0 0 0 0 X X X 0 0 X X X 0 X 0 0 X X 0 X X 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+19x^18+42x^20+32x^21+43x^22+64x^23+34x^24+64x^25+28x^26+64x^27+26x^28+32x^29+28x^30+21x^32+9x^34+4x^36+1x^38 The gray image is a linear code over GF(2) with n=50, k=9 and d=18. This code was found by Heurico 1.16 in 3.28 seconds.