The generator matrix

 1  0  0  0  0  1  1  1  0  1  1  X  X  1  1  0  0  1  1  1  1
 0  1  0  0  0  0  0  0  0 X+1  1  1  X X+1 X+1  1  1  X  0  1  0
 0  0  1  0  0  0  1  1  1  1  1  0  1  X  X X+1  X X+1  1  1  0
 0  0  0  1  0  1  1  0  1  0  X  1  X  1  1  1 X+1 X+1  0  X  0
 0  0  0  0  1  1  0  1  1 X+1  X  0  1  X X+1  1 X+1 X+1  0  0  0
 0  0  0  0  0  X  0  0  0  X  0  X  X  X  0  X  0  0  0  0  0
 0  0  0  0  0  0  X  0  0  0  0  X  0  X  0  X  0  X  X  X  0
 0  0  0  0  0  0  0  X  0  0  X  0  X  X  0  X  X  X  X  0  0
 0  0  0  0  0  0  0  0  X  0  X  X  0  X  0  0  X  0  X  0  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+68x^12+160x^13+234x^14+442x^15+661x^16+940x^17+1255x^18+1536x^19+1864x^20+1976x^21+1900x^22+1636x^23+1254x^24+912x^25+654x^26+464x^27+236x^28+104x^29+50x^30+18x^31+12x^32+4x^33+3x^34

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 7.59 seconds.