The generator matrix

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

generates a code of length 14 over Z2[X]/(X^2) who´s minimum homogenous weight is 9.

Homogenous weight enumerator: w(x)=1x^0+36x^9+70x^10+88x^11+111x^12+124x^13+152x^14+144x^15+110x^16+92x^17+62x^18+24x^19+1x^20+4x^21+4x^22+1x^24

The gray image is a linear code over GF(2) with n=28, k=10 and d=9.
This code was found by Heurico 1.16 in 0.0444 seconds.