The generator matrix

 1  0  1  1  1  0  1  1  0  1  1  0  0  0  1
 0  1  1  0  1  1  0  1  1  0 X+1  1  1  1  0
 0  0  X  0  0  0  0  0  0  0  X  0  X  X  0
 0  0  0  X  0  0  0  0  0  0  X  X  X  0  0
 0  0  0  0  X  0  0  0  0  0  X  X  0  X  0
 0  0  0  0  0  X  0  0  0  X  X  0  0  X  0
 0  0  0  0  0  0  X  0  0  X  0  0  X  X  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  X  0  0  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+55x^8+16x^9+54x^10+32x^11+192x^12+368x^13+200x^14+192x^15+215x^16+368x^17+212x^18+32x^19+48x^20+16x^21+40x^22+1x^24+6x^26

The gray image is a linear code over GF(2) with n=30, k=11 and d=8.
This code was found by Heurico 1.16 in 0.0214 seconds.