The generator matrix

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

generates a code of length 21 over Z2[X]/(X^2) who´s minimum homogenous weight is 12.

Homogenous weight enumerator: w(x)=1x^0+148x^12+316x^14+1366x^16+2176x^18+4348x^20+3672x^22+2784x^24+992x^26+524x^28+12x^30+41x^32+4x^36

The gray image is a linear code over GF(2) with n=42, k=14 and d=12.
This code was found by Heurico 1.16 in 3 seconds.