The generator matrix

 1  0  0  1  1  1  X  1  1  1  0  1  1  1  1  1  0  0  1
 0  1  0  1  0  1  1  0  X  1  1  X  0 X+1  1 X+1  1  1  X
 0  0  1  1  1  0  1  X  1  0  0 X+1  0  X X+1 X+1  0  X  1
 0  0  0  X  0  0  X  0  0  0  X  X  X  0  X  0  0  X  0
 0  0  0  0  X  0  X  X  0  X  0  X  X  0  0  X  0  X  X
 0  0  0  0  0  X  X  X  X  0  0  X  X  0  X  0  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+12x^14+46x^15+79x^16+50x^17+30x^18+68x^19+76x^20+60x^21+16x^22+14x^23+36x^24+18x^25+6x^26

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 -3.24e-008 seconds.