The generator matrix 1 0 0 0 0 1 1 1 1 0 1 0 0 0 1 0 X 0 0 0 1 0 0 1 X 0 0 0 0 0 1 0 1 X+1 1 0 0 0 0 0 1 X 1 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+34x^4+24x^5+95x^6+130x^7+127x^8+200x^9+126x^10+140x^11+92x^12+16x^13+35x^14+2x^15+2x^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 1.10 in 0 seconds.