The generator matrix

1 1 1 1 0 1 1 1 1 1 1 1 1 1 1 1 1 1
X 1 X X 1 0 X X+1 X X 1 X+1 0 X X+1 X X 0
0 X X+1 0 1 X X+1 1 1 X 0 1 X+1 X 1 0 X 0
0 0 0 0 X X+1 X+1 X+1 X+1 1 0 X+1 X 1 X 0 1 0
0 0 0 X X X X 0 X X+1 X+1 X+1 X+1 0 0 1 X 0
0 0 0 0 X X+1 1 1 X+1 X+1 X X+1 X X X+1 X+1 X X+1
0 0 0 X+1 1 X+1 1 1 X X+1 1 0 0 X X 0 0 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+81x^10+154x^11+291x^12+692x^13+892x^14+1124x^15+1637x^16+2084x^17+2403x^18+2168x^19+1610x^20+1180x^21+900x^22+636x^23+298x^24+140x^25+75x^26+14x^27+3x^28+1x^34

The gray image is a linear code over GF(2) with n=36, k=14 and d=10.
This code was found by an older version of Heurico in 0 seconds.