The generator matrix

 1  0  0  0  0  1  1  1  0  1  1  0  1  1  X  1  0  1  X  X  X
 0  1  0  0  0  0  0  0  0  1  1  1  X  X  0  1  1 X+1  1  0  0
 0  0  1  0  0  0  1  1  1  1  1  X  1  0  0  X  0 X+1 X+1  1  0
 0  0  0  1  0  1  1  0  1  0  1 X+1  1  X  1  X X+1 X+1  X  X  0
 0  0  0  0  1  1  0  1  1  0  1  1 X+1 X+1 X+1  X  0  X  X X+1  0
 0  0  0  0  0  X  0  0  0  0  0  0  0  0  X  X  X  X  X  X  X
 0  0  0  0  0  0  X  0  0  0  0  0  0  X  X  X  0  X  0  0  X
 0  0  0  0  0  0  0  X  0  0  0  0  X  X  X  X  X  0  X  0  X
 0  0  0  0  0  0  0  0  X  0  0  0  X  0  0  X  X  0  X  X  0
 0  0  0  0  0  0  0  0  0  X  0  X  0  0  X  X  0  0  X  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+240x^12+842x^14+2624x^16+5040x^18+7812x^20+7252x^22+5268x^24+2592x^26+920x^28+146x^30+27x^32+4x^36

The gray image is a linear code over GF(2) with n=42, k=15 and d=12.
This code was found by Heurico 1.16 in 12.4 seconds.