The generator matrix

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

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+46x^14+97x^16+111x^18+124x^20+90x^22+30x^24+8x^26+4x^28+1x^34

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 0.018 seconds.