The generator matrix

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

generates a code of length 19 over Z2[X]/(X^2) who´s minimum homogenous weight is 14.

Homogenous weight enumerator: w(x)=1x^0+43x^14+99x^16+114x^18+118x^20+92x^22+36x^24+6x^26+2x^28+1x^30

The gray image is a linear code over GF(2) with n=38, k=9 and d=14.
This code was found by Heurico 1.16 in 0.016 seconds.