The generator matrix

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

generates a code of length 27 over Z2[X]/(X^2) who´s minimum homogenous weight is 22.

Homogenous weight enumerator: w(x)=1x^0+38x^22+64x^23+64x^24+32x^26+128x^27+32x^28+52x^30+64x^31+27x^32+6x^38+4x^40

The gray image is a linear code over GF(2) with n=54, k=9 and d=22.
This code was found by Heurico 1.16 in 0.11 seconds.