The generator matrix

 1  0  0  0  0  1  1  1  1  X  0  1  1  1  1
 0  1  0  0  0  0  0 X+1  1  X  1  1  0  1  0
 0  0  1  0  0  0  1  1  1  1  1  0 X+1  1  0
 0  0  0  1  0  1  1  0  1  0  1 X+1  0  X  0
 0  0  0  0  1  1  0 X+1  1 X+1  0 X+1  X  X  0
 0  0  0  0  0  X  0  X  0  0  X  X  X  0  0
 0  0  0  0  0  0  X  0  0  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+48x^8+48x^9+200x^10+200x^11+298x^12+448x^13+484x^14+632x^15+447x^16+496x^17+352x^18+184x^19+158x^20+32x^21+52x^22+8x^23+8x^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 0.116 seconds.