The generator matrix

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

generates a code of length 21 over Z2[X]/(X^2) who´s minimum homogenous weight is 15.

Homogenous weight enumerator: w(x)=1x^0+70x^15+154x^16+110x^17+82x^18+214x^19+356x^20+238x^21+96x^22+194x^23+228x^24+154x^25+76x^26+34x^27+28x^28+10x^29+1x^32+2x^34

The gray image is a linear code over GF(2) with n=42, k=11 and d=15.
This code was found by Heurico 1.16 in 60.2 seconds.