The generator matrix

 1  0  1  1  1  0  1  1  0  1  1  0  1  1  0  1  1  1  1
 0  1  1  0  1  1  0  1  1  0 X+1  1  0 X+1  1  0  0  0  0
 0  0  X  0  0  0  0  0  0  0  0  0  X  X  X  0  0  X  0
 0  0  0  X  0  0  0  0  0  0  0  X  X  X  0  0  X  X  0
 0  0  0  0  X  0  0  0  0  0  0  X  0  X  X  X  X  0  0
 0  0  0  0  0  X  0  0  0  0  X  0  X  X  0  X  X  0  0
 0  0  0  0  0  0  X  0  0  0  X  X  X  0  0  0  0  X  0
 0  0  0  0  0  0  0  X  0  0  0  X  X  0  X  X  0  0  0
 0  0  0  0  0  0  0  0  X  0  X  0  X  0  X  0  X  X  X
 0  0  0  0  0  0  0  0  0  X  X  X  0  X  0  X  0  0  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+32x^10+90x^12+226x^14+606x^16+1072x^18+1108x^20+644x^22+208x^24+64x^26+34x^28+10x^30+1x^32

The gray image is a linear code over GF(2) with n=38, k=12 and d=10.
This code was found by Heurico 1.16 in 0.166 seconds.