The generator matrix 1 0 0 0 0 0 1 1 1 0 1 0 0 0 0 1 0 0 0 0 1 0 0 0 1 0 0 0 0 0 1 0 0 1 0 0 0 0 0 0 1 0 1 0 0 0 0 0 0 0 1 1 0 0 0 0 0 0 0 0 X 0 0 0 0 0 0 0 0 0 X 0 generates a code of length 9 over Z2[X]/(X^2) who´s minimum homogenous weight is 2. Homogenous weight enumerator: w(x)=1x^0+67x^2+610x^4+2366x^6+5148x^8+5148x^10+2366x^12+610x^14+67x^16+1x^18 The gray image is a linear code over GF(2) with n=18, k=14 and d=2. As d=2 is an upper bound for linear (18,14,2)-codes, this code is optimal over Z2[X]/(X^2) for dimension 14. This code was found by Heurico 1.16 in 0.396 seconds.