The generator matrix

 1  0  0  0  0  0  1  1  1  1  1  1  1  1  1  1  X  1  0  1  1
 0  1  0  0  0  0  0  0  1  X  0  1  1 X+1  X  0  1 X+1  1  X  0
 0  0  1  0  0  0  0  0  1 X+1 X+1 X+1  0  X  X  1  1  1  0  0  0
 0  0  0  1  0  0  0  1  1  1  X  X  X  0  0  0  1  0  1  1  0
 0  0  0  0  1  0  1  1  0  1 X+1  0  1  X  X  1  0  0  1 X+1  0
 0  0  0  0  0  1  1  0 X+1  1  X  0  X  0 X+1  1 X+1  1  0  1  0
 0  0  0  0  0  0  X  0  X  0  X  X  X  X  0  X  0  0  X  X  0
 0  0  0  0  0  0  0  X  0  0  0  X  X  0  X  X  X  X  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+49x^12+168x^13+268x^14+440x^15+657x^16+880x^17+1256x^18+1636x^19+1850x^20+1948x^21+1872x^22+1572x^23+1302x^24+988x^25+632x^26+428x^27+229x^28+108x^29+68x^30+20x^31+8x^32+4x^33

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 8.84 seconds.