The generator matrix 1 0 0 0 1 0 1 0 0 X+1 0 0 1 0 1 0 0 0 1 1 0 0 0 0 X generates a code of length 5 over Z2[X]/(X^2) who´s minimum homogenous weight is 2. Homogenous weight enumerator: w(x)=1x^0+45x^2+210x^4+210x^6+45x^8+1x^10 The gray image is a linear code over GF(2) with n=10, k=9 and d=2. As d=2 is an upper bound for linear (10,9,2)-codes, this code is optimal over Z2[X]/(X^2) for dimension 9. This code was found by Heurico 1.16 in 0.000244 seconds.