The generator matrix 1 0 0 0 0 0 0 0 1 1 1 0 1 1 1 1 1 1 0 1 0 0 0 0 0 0 0 0 0 1 1 1 1 X X+1 1 0 0 1 0 0 0 0 0 0 1 X 0 X+1 X 1 X+1 X 0 0 0 0 1 0 0 0 0 1 0 X X 1 1 X+1 1 0 1 0 0 0 0 1 0 0 0 1 1 X+1 X 0 X 0 X+1 X+1 1 0 0 0 0 0 1 0 0 1 X 1 1 X+1 X X 1 0 0 0 0 0 0 0 0 1 0 1 X+1 0 X+1 X 0 1 1 1 X+1 0 0 0 0 0 0 0 1 X 1 1 1 1 X X+1 X X X+1 generates a code of length 18 over Z2[X]/(X^2) who´s minimum homogenous weight is 9. Homogenous weight enumerator: w(x)=1x^0+94x^9+307x^10+630x^11+1170x^12+2138x^13+3584x^14+5236x^15+7025x^16+8344x^17+8574x^18+8160x^19+7036x^20+5264x^21+3640x^22+2252x^23+1126x^24+538x^25+279x^26+106x^27+26x^28+6x^29 The gray image is a linear code over GF(2) with n=36, k=16 and d=9. This code was found by Heurico 1.11 in 19.5 seconds.