The generator matrix

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

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+146x^12+60x^14+794x^16+832x^18+2430x^20+1752x^22+1432x^24+416x^26+270x^28+12x^30+45x^32+2x^36

The gray image is a linear code over GF(2) with n=42, k=13 and d=12.
This code was found by Heurico 1.16 in 1.27 seconds.