The generator matrix

1 1 1 X 1 1 1 0 1 1 1 1 1 X 0 X 1 1 1
X X+1 X+1 0 X 0 1 1 X X 1 0 X 1 X 1 X+1 X 0
0 0 X+1 1 X X+1 X+1 1 X+1 X+1 0 X+1 0 X X X 0 1 0
0 0 0 1 1 0 X+1 X+1 0 X+1 0 X+1 0 X+1 1 1 1 1 0
0 0 0 0 X 1 X 1 1 0 X+1 0 X+1 0 0 X+1 X X+1 0
0 0 0 0 0 1 X+1 0 X X+1 0 1 X 0 1 X X X 0
0 0 0 0 0 0 0 0 0 0 X+1 X+1 X+1 X X+1 X X+1 1 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+18x^10+80x^11+190x^12+370x^13+589x^14+852x^15+1226x^16+1718x^17+2055x^18+2152x^19+2085x^20+1702x^21+1269x^22+884x^23+553x^24+362x^25+163x^26+64x^27+41x^28+8x^29+2x^30

The gray image is a linear code over GF(2) with n=38, k=14 and d=10.
This code was found by an older version of Heurico in 0 seconds.