The generator matrix 1 0 1 1 1 0 1 1 0 1 1 0 1 1 1 1 X X 0 1 1 0 0 1 1 0 1 1 0 X+1 1 0 X+1 1 0 0 X X X X 0 0 X+1 1 0 0 X 0 0 0 0 X 0 X X X 0 X X 0 X 0 X 0 X X 0 0 0 X 0 0 X X 0 X 0 X 0 X 0 X 0 X 0 X 0 0 0 0 0 0 X 0 X 0 X X X X 0 0 0 0 X X 0 X 0 X 0 0 0 0 0 X 0 X X X 0 X X 0 0 X X 0 X X X X generates a code of length 22 over Z2[X]/(X^2) who´s minimum homogenous weight is 18. Homogenous weight enumerator: w(x)=1x^0+46x^18+72x^20+44x^22+42x^24+30x^26+12x^28+8x^30+1x^32 The gray image is a linear code over GF(2) with n=44, k=8 and d=18. This code was found by Heurico 1.16 in 0.0134 seconds.