The generator matrix

 1  0  0  0  1  1  1  1  0  1  1  1  0  0  X  X  0  1  0  1  X
 0  1  0  0  1  0  0  1  1  1  0  1  X  1  1  1  X  X  1  X  0
 0  0  1  0  1  0  1  0  1  X  1 X+1  X X+1  0 X+1  1 X+1  1  1  X
 0  0  0  1  1  1  0  0 X+1  1 X+1  X  1  0  1  1  X X+1  X  0  X
 0  0  0  0  X  0  0  0  0  0  X  0  0  X  X  0  X  X  0  X  0
 0  0  0  0  0  X  0  0  X  X  0  0  0  0  X  0  X  X  X  X  0
 0  0  0  0  0  0  X  0  0  0  0  X  X  X  0  X  X  0  X  0  X
 0  0  0  0  0  0  0  X  X  X  X  X  0  0  X  0  0  X  0  0  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+123x^14+365x^16+690x^18+808x^20+990x^22+646x^24+356x^26+96x^28+15x^30+4x^32+2x^34

The gray image is a linear code over GF(2) with n=42, k=12 and d=14.
This code was found by Heurico 1.16 in 0.545 seconds.