The generator matrix

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

generates a code of length 21 over Z2[X]/(X^2) who´s minimum homogenous weight is 14.

Homogenous weight enumerator: w(x)=1x^0+32x^14+48x^15+94x^16+128x^17+164x^18+208x^19+220x^20+256x^21+228x^22+208x^23+172x^24+128x^25+76x^26+48x^27+20x^28+12x^30+5x^32

The gray image is a linear code over GF(2) with n=42, k=11 and d=14.
This code was found by Heurico 1.16 in 0.0903 seconds.