The generator matrix

 1  0  0  0  0  1  1  1  1  0  1  X  1  1  X  1  1  1
 0  1  0  0  0  0  1  1  1  1  X  1  0  0  0  0  0  0
 0  0  1  0  0  1  1  0  0  1  0  0  1  0  1  X  0  0
 0  0  0  1  0  1  0  1  0  1  0  0  X  1 X+1  X  0  0
 0  0  0  0  1  1  0  0  1  1  1 X+1 X+1  1  X  0  0  0
 0  0  0  0  0  X  0  0  0  0  0  X  X  X  0  0  0  0
 0  0  0  0  0  0  X  0  0  0  0  X  X  0  X  0  0  0
 0  0  0  0  0  0  0  X  0  0  X  0  X  X  0  0  0  0
 0  0  0  0  0  0  0  0  X  0  X  X  0  0  X  0  0  0
 0  0  0  0  0  0  0  0  0  X  X  0  X  0  X  X  X  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+82x^8+10x^9+267x^10+142x^11+1023x^12+840x^13+1989x^14+2664x^15+3069x^16+4556x^17+3518x^18+4500x^19+3046x^20+2664x^21+2074x^22+872x^23+928x^24+122x^25+327x^26+14x^27+43x^28+17x^30

The gray image is a linear code over GF(2) with n=36, k=15 and d=8.
This code was found by Heurico 1.16 in 5.18 seconds.