The generator matrix

1 0 0 0 0 0 0 1 1 1 1 1 1 1 X 1 0 X 1 1 1
0 1 0 0 0 0 0 0 0 0 0 1 1 X 1 X 1 1 1 X+1 0
0 0 1 0 0 0 0 1 0 1 X 1 X+1 X+1 X+1 0 X+1 0 X+1 1 0
0 0 0 1 0 0 0 1 1 X X+1 X+1 X 1 0 0 X+1 1 0 0 0
0 0 0 0 1 0 0 1 X X+1 1 0 X 1 X+1 1 X 0 0 X 0
0 0 0 0 0 1 0 1 X+1 X+1 X X X 0 1 X+1 0 0 X+1 1 0
0 0 0 0 0 0 1 X 1 X+1 X+1 1 X 1 1 X 1 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+57x^12+132x^13+301x^14+430x^15+659x^16+960x^17+1247x^18+1518x^19+1799x^20+2020x^21+1841x^22+1678x^23+1327x^24+936x^25+637x^26+386x^27+236x^28+112x^29+70x^30+20x^31+17x^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 1.10 in 1.58 seconds.