The generator matrix

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

generates a code of length 15 over Z2[X]/(X^2) who´s minimum homogenous weight is 8.

Homogenous weight enumerator: w(x)=1x^0+113x^8+120x^10+768x^12+920x^14+1355x^16+488x^18+288x^20+8x^22+35x^24

The gray image is a linear code over GF(2) with n=30, k=12 and d=8.
This code was found by Heurico 1.16 in 0.0929 seconds.