The generator matrix 1 0 0 0 1 1 1 1 1 0 1 0 0 0 1 X X 0 0 0 1 0 1 1 1 X+1 0 0 0 0 1 1 0 0 X 0 0 0 0 0 X 0 X 0 0 0 0 0 0 0 X X 0 0 generates a code of length 9 over Z2[X]/(X^2) who´s minimum homogenous weight is 4. Homogenous weight enumerator: w(x)=1x^0+26x^4+52x^5+74x^6+112x^7+150x^8+184x^9+164x^10+112x^11+74x^12+52x^13+18x^14+5x^16 The gray image is a linear code over GF(2) with n=18, k=10 and d=4. As d=4 is an upper bound for linear (18,10,2)-codes, this code is optimal over Z2[X]/(X^2) for dimension 10. This code was found by Heurico 1.16 in 0.00294 seconds.