The generator matrix

 1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  X  1  1  1
 0  X  0  0  0  0  0  X  0  X  0  X  0  X  0  X  0  X  X  0  0  X
 0  0  X  0  0  0  X  X  0  X  0  0  X  0  0  X  X  0  X  0  X  X
 0  0  0  X  0  0  X  0  0  X  X  X  X  X  X  X  X  X  X  X  X  0
 0  0  0  0  X  0  X  0  X  X  0  X  0  0  X  X  0  0  X  X  X  X
 0  0  0  0  0  X  X  0  X  0  X  X  0  X  0  X  X  0  0  X  0  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+10x^18+15x^20+32x^21+16x^22+32x^23+11x^24+5x^26+5x^28+1x^42

The gray image is a linear code over GF(2) with n=44, k=7 and d=18.
This code was found by Heurico 1.16 in 0.00561 seconds.