The generator matrix

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

generates a code of length 18 over Z2[X]/(X^2) who´s minimum homogenous weight is 8.

Homogenous weight enumerator: w(x)=1x^0+125x^8+384x^10+32x^11+888x^12+672x^13+1308x^14+672x^15+987x^16+3360x^17+784x^18+1120x^19+1064x^20+2016x^21+1192x^22+224x^23+967x^24+96x^25+400x^26+64x^28+28x^30

The gray image is a linear code over GF(2) with n=36, k=14 and d=8.
This code was found by Heurico 1.16 in 2.39 seconds.