The generator matrix

 1  0  0  1  1  1  0  1  1  1  1  0  X  0  X  1  1  1
 0  1  0  1  0  1  1  0  0  1 X+1  1  1  0  0  0  0  0
 0  0  1  1  1  0  1  0  1  1  0  0  1  1  0  0  0  0
 0  0  0  X  0  0  0  0  0  0  0  X  0  X  X  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  0  X  0  0  0
 0  0  0  0  0  0  X  0  0  0  X  0  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  0  X  0  0  0  0
 0  0  0  0  0  0  0  0  0  X  X  X  X  0  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+101x^8+144x^10+32x^11+528x^12+224x^13+508x^14+672x^15+587x^16+1120x^17+400x^18+1120x^19+440x^20+672x^21+712x^22+224x^23+367x^24+32x^25+256x^26+24x^28+28x^30

The gray image is a linear code over GF(2) with n=36, k=13 and d=8.
This code was found by Heurico 1.16 in 0.352 seconds.