The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+2x^22+8x^23+3x^24+2x^26

The gray image is a linear code over GF(2) with n=44, k=4 and d=22.
This code was found by Heurico 1.16 in 0.00115 seconds.