The generator matrix

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

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+55x^14+128x^15+185x^16+266x^17+339x^18+384x^19+400x^20+488x^21+487x^22+424x^23+368x^24+244x^25+173x^26+80x^27+36x^28+24x^29+2x^30+8x^31+2x^32+2x^33

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 0.399 seconds.