The generator matrix 1 0 0 0 1 1 1 X 1 1 1 1 0 X 1 X 0 1 0 1 0 0 0 1 1 1 0 X 0 X+1 1 1 X 1 1 1 0 0 1 0 1 0 X+1 1 1 X X+1 X+1 X+1 1 X X+1 X 0 0 0 0 1 1 X+1 X 1 X 1 0 X X X+1 X X 1 X+1 0 0 0 0 X X 0 0 0 0 X X X X X X X 0 generates a code of length 18 over Z2[X]/(X^2) who´s minimum homogenous weight is 14. Homogenous weight enumerator: w(x)=1x^0+80x^14+140x^16+103x^18+94x^20+70x^22+21x^24+3x^26 The gray image is a linear code over GF(2) with n=36, k=9 and d=14. As d=14 is an upper bound for linear (36,9,2)-codes, this code is optimal over Z2[X]/(X^2) for dimension 9. This code was found by Heurico 1.10 in 0 seconds.