The generator matrix

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

generates a code of length 15 over Z2[X]/(X^2) who�s minimum homogenous weight is 10.

Homogenous weight enumerator: w(x)=1x^0+29x^10+26x^11+54x^12+58x^13+47x^14+84x^15+49x^16+68x^17+43x^18+18x^19+22x^20+2x^21+9x^22+2x^24

The gray image is a linear code over GF(2) with n=30, k=9 and d=10.
This code was found by Heurico 1.16 in 3.81e-009 seconds.