The generator matrix

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

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+22x^18+36x^19+37x^20+40x^21+26x^22+24x^23+17x^24+16x^25+10x^26+4x^27+7x^28+8x^29+6x^30+2x^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 0.00356 seconds.