The generator matrix

 1  0  0  0  0  0  0  1  1  1  X  1  1  1  X  0  0  1  1  1  1
 0  1  0  0  0  0  0  0  0  0  0  1 X+1  X  1  X  1  1 X+1 X+1  0
 0  0  1  0  0  0  0  X X+1 X+1  1  1  1 X+1  1  X  0  X X+1 X+1  0
 0  0  0  1  0  0  0 X+1  1 X+1 X+1  X  1  X  1  0  X X+1 X+1 X+1  0
 0  0  0  0  1  0  0  1  0  X  1  X  1  0  0  1 X+1 X+1 X+1  1  0
 0  0  0  0  0  1  0  1  X X+1 X+1  1 X+1  1  0 X+1  X  0  X  X  0
 0  0  0  0  0  0  1  1 X+1  X X+1 X+1  1  X  0  1  X  X  1 X+1  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+56x^12+156x^13+247x^14+452x^15+695x^16+932x^17+1220x^18+1548x^19+1828x^20+1948x^21+1930x^22+1652x^23+1278x^24+940x^25+644x^26+420x^27+220x^28+120x^29+55x^30+24x^31+18x^32

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 5.31 seconds.