The generator matrix

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

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+71x^10+198x^12+250x^14+239x^16+184x^18+74x^20+6x^22+1x^26

The gray image is a linear code over GF(2) with n=30, k=10 and d=10.
This code was found by Heurico 1.16 in 0.0399 seconds.