The generator matrix

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

generates a code of length 18 over Z2[X]/(X^2) who´s minimum homogenous weight is 10.

Homogenous weight enumerator: w(x)=1x^0+28x^10+62x^11+219x^12+266x^13+451x^14+642x^15+831x^16+1042x^17+1008x^18+1126x^19+880x^20+670x^21+458x^22+214x^23+176x^24+70x^25+36x^26+4x^27+5x^28+3x^30

The gray image is a linear code over GF(2) with n=36, k=13 and d=10.
This code was found by an older version of Heurico in 0 seconds.