The generator matrix

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

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+59x^14+165x^16+333x^18+421x^20+518x^22+390x^24+98x^26+42x^28+15x^30+4x^32+1x^34+1x^36

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 33.3 seconds.