The generator matrix

 1  0  0  0  0  1  1  1  0  1  0  X  1  1  1  1  X  0  X  1  1
 0  1  0  0  0  0  1  1  1  0  X  1  X  0  1  X  1  1  1  1  X
 0  0  1  0  0  1  1  0 X+1  X  1  0  X  1 X+1  X  1  0  X  0  0
 0  0  0  1  0  1  0 X+1 X+1  1  0  X X+1  X  X X+1  0  1  0  X X+1
 0  0  0  0  1  1  0  X  0  1 X+1  0  X X+1 X+1  X  0  0 X+1  1  0
 0  0  0  0  0  X  0  X  0  0  X  X  X  X  0  X  X  X  0  0  0
 0  0  0  0  0  0  X  X  X  0  0  X  X  X  0  0  0  0  X  0  X

generates a code of length 21 over Z2[X]/(X^2) who´s minimum homogenous weight is 14.

Homogenous weight enumerator: w(x)=1x^0+69x^14+108x^15+206x^16+240x^17+318x^18+406x^19+419x^20+492x^21+443x^22+498x^23+347x^24+216x^25+173x^26+74x^27+49x^28+12x^29+20x^30+2x^31+2x^32+1x^34

The gray image is a linear code over GF(2) with n=42, k=12 and d=14.
This code was found by Heurico 1.16 in 0.365 seconds.