The generator matrix

 1  0  0  0  0  1  1  1  X  1  1  X  1  1
 0  1  0  0  0  0  0  X  1 X+1  1  1  X  0
 0  0  1  0  0  X  1 X+1  1  1  0  X X+1  0
 0  0  0  1  0 X+1  1  0 X+1  X X+1  1  1  X
 0  0  0  0  1  1  X  1  1 X+1 X+1  1 X+1  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+66x^10+84x^11+123x^12+138x^13+139x^14+128x^15+121x^16+96x^17+48x^18+28x^19+11x^20+2x^21+3x^22

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 0.0299 seconds.