The generator matrix

 1  0  0  0  0  0  1  1  1  0  1  1  1  1  X  X  0  1  1  1  1
 0  1  0  0  0  0  0  0  0  0  X  1  1 X+1  1  1  X  0  X  0  0
 0  0  1  0  0  0  0  0  0  0 X+1  1 X+1  X X+1  0  1 X+1  1  1  X
 0  0  0  1  0  0  0  1  1  1  1  0 X+1 X+1 X+1 X+1  1  X  0  0  1
 0  0  0  0  1  0  1  1  0  1  0  X  0  1  X X+1  1 X+1  X  0  1
 0  0  0  0  0  1  1  0  1  1  0  X  1 X+1  X  0  0  0  0  X  X
 0  0  0  0  0  0  X  0  0  X  X  0  0  X  X  X  0  X  X  X  0
 0  0  0  0  0  0  0  X  0  X  X  0  X  0  0  X  0  0  X  X  0
 0  0  0  0  0  0  0  0  X  X  0  X  X  X  0  0  X  X  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+112x^12+228x^13+473x^14+728x^15+1248x^16+1768x^17+2492x^18+3232x^19+3852x^20+4448x^21+3875x^22+3264x^23+2512x^24+1784x^25+1252x^26+704x^27+452x^28+220x^29+99x^30+8x^31+15x^32+1x^38

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 15.2 seconds.