The generator matrix

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

generates a code of length 14 over Z2[X]/(X^2) who´s minimum homogenous weight is 8.

Homogenous weight enumerator: w(x)=1x^0+26x^8+64x^10+101x^12+128x^14+101x^16+64x^18+26x^20+1x^28

The gray image is a linear code over GF(2) with n=28, k=9 and d=8.
This code was found by Heurico 1.16 in 0.016 seconds.