The generator matrix

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

generates a code of length 22 over Z2[X]/(X^2) who´s minimum homogenous weight is 17.

Homogenous weight enumerator: w(x)=1x^0+20x^17+52x^18+58x^19+58x^20+56x^21+48x^22+54x^23+54x^24+44x^25+20x^26+14x^27+14x^28+8x^29+8x^30+2x^31+1x^32

The gray image is a linear code over GF(2) with n=44, k=9 and d=17.
This code was found by Heurico 1.16 in 0.109 seconds.