The generator matrix

 1  0  0  1  1  1  0  1  1  0  1  1  X  X  1
 0  1  0  1  0  1  1  0  0  X  1  1  1  1  0
 0  0  1  1  1  0  1  0  1  1  1  X  0  1  0
 0  0  0  X  0  0  0  0  0  0  0  X  X  X  0
 0  0  0  0  X  0  0  0  0  X  0  X  X  0  0
 0  0  0  0  0  X  0  0  0  0  X  0  X  X  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  0  X  0
 0  0  0  0  0  0  0  0  X  X  X  0  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+71x^8+32x^9+182x^10+192x^11+288x^12+480x^13+472x^14+640x^15+487x^16+480x^17+308x^18+192x^19+176x^20+32x^21+56x^22+1x^24+6x^26

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 0.0887 seconds.