The generator matrix

 1  1  1  1  1  1  1  1  1  X  X  1  1  1
 0  X  0  0  0  0  0  0  X  0  X  X  0  0
 0  0  X  0  0  0  0  0  X  X  X  0  0  0
 0  0  0  X  0  0  0  X  0  X  0  X  0  0
 0  0  0  0  X  0  0  X  0  0  X  X  0  0
 0  0  0  0  0  X  0  X  X  0  0  X  0  0
 0  0  0  0  0  0  X  X  X  X  X  X  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+68x^12+64x^14+73x^16+20x^20+4x^24

The gray image is a linear code over GF(2) with n=28, k=8 and d=8.
This code was found by Heurico 1.16 in -5.72e-009 seconds.