The generator matrix 1 0 1 1 1 0 1 1 1 0 1 X X X X X X 1 0 1 1 0 1 1 0 X+1 X 1 1 1 0 0 0 0 X 0 0 0 X 0 0 0 0 0 0 X X X 0 X X 0 X 0 0 0 0 X 0 0 0 0 X X 0 X X X 0 0 0 0 0 0 0 0 X 0 0 X 0 X 0 X 0 X X X 0 0 0 0 0 0 0 X 0 X 0 X X 0 X X 0 X X 0 0 0 0 0 0 0 X X X 0 X 0 0 X X 0 X 0 generates a code of length 18 over Z2[X]/(X^2) who´s minimum homogenous weight is 12. Homogenous weight enumerator: w(x)=1x^0+24x^12+24x^13+41x^14+48x^15+41x^16+56x^17+52x^18+64x^19+32x^20+40x^21+30x^22+16x^23+30x^24+8x^25+4x^26+1x^30 The gray image is a linear code over GF(2) with n=36, k=9 and d=12. This code was found by Heurico 1.16 in 3.81e-009 seconds.