The generator matrix

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

generates a code of length 19 over Z2[X]/(X^2) who´s minimum homogenous weight is 10.

Homogenous weight enumerator: w(x)=1x^0+82x^10+330x^12+1062x^14+2648x^16+4116x^18+4004x^20+2604x^22+1156x^24+314x^26+50x^28+14x^30+3x^32

The gray image is a linear code over GF(2) with n=38, k=14 and d=10.
This code was found by Heurico 1.16 in 3.92 seconds.