The generator matrix

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

generates a code of length 19 over Z2[X]/(X^2) who´s minimum homogenous weight is 15.

Homogenous weight enumerator: w(x)=1x^0+50x^15+89x^16+60x^17+40x^18+46x^19+72x^20+56x^21+16x^22+30x^23+30x^24+12x^25+8x^26+2x^27

The gray image is a linear code over GF(2) with n=38, k=9 and d=15.
This code was found by Heurico 1.10 in 0.188 seconds.