The generator matrix 1 1 1 1 1 1 1 1 1 1 1 1 X X X 1 1 1 0 X 0 0 0 0 0 0 X 0 X X 0 X X 0 0 X 0 0 X 0 0 0 0 0 X X X 0 X X 0 0 X X 0 0 0 X 0 0 0 X 0 X 0 X X X 0 0 0 X 0 0 0 0 X 0 0 X 0 0 X X X 0 X 0 X X 0 0 0 0 0 X 0 X X 0 X 0 0 X X X X 0 0 0 0 0 0 0 X X X 0 0 X X 0 X X 0 0 generates a code of length 18 over Z2[X]/(X^2) who´s minimum homogenous weight is 14. Homogenous weight enumerator: w(x)=1x^0+33x^14+45x^16+96x^17+32x^21+30x^22+18x^24+1x^30 The gray image is a linear code over GF(2) with n=36, k=8 and d=14. This code was found by Heurico 1.16 in 0.015 seconds.