The generator matrix

 1  1  1  1  1  1  1  1  1  1  1  1  X  X  X  1  1
 0  X  0  0  0  0  0  0  X  0  X  X  0  X  X  0  0
 0  0  X  0  0  0  0  0  X  X  X  0  X  X  0  0  0
 0  0  0  X  0  0  0  X  0  X  0  X  X  X  0  0  0
 0  0  0  0  X  0  0  X  0  0  X  X  X  0  X  0  0
 0  0  0  0  0  X  0  X  X  0  X  0  0  X  X  X  X
 0  0  0  0  0  0  X  X  X  0  0  X  X  0  X  X  X

generates a code of length 17 over Z2[X]/(X^2) who´s minimum homogenous weight is 12.

Homogenous weight enumerator: w(x)=1x^0+33x^12+141x^16+62x^20+18x^24+1x^28

The gray image is a linear code over GF(2) with n=34, k=8 and d=12.
This code was found by Heurico 1.16 in -1.07e-007 seconds.