The generator matrix 1 0 0 1 1 1 1 1 X 0 1 0 1 0 X+1 1 0 X 0 0 1 1 1 0 X+1 0 X 0 0 0 X 0 X 0 X 0 0 0 0 0 X 0 X X X generates a code of length 9 over Z2[X]/(X^2) who´s minimum homogenous weight is 6. Homogenous weight enumerator: w(x)=1x^0+51x^6+81x^8+70x^10+46x^12+7x^14 The gray image is a linear code over GF(2) with n=18, k=8 and d=6. As d=6 is an upper bound for linear (18,8,2)-codes, this code is optimal over Z2[X]/(X^2) for dimension 8. This code was found by Heurico 1.16 in 0.000796 seconds.