The generator matrix 1 0 0 1 1 1 X 1 1 1 1 1 1 1 1 1 1 1 1 0 1 0 X 1 X+1 1 X 0 0 1 X+1 X+1 X 1 0 X X+1 1 0 0 1 1 X+1 X 1 X+1 1 X 1 0 X+1 0 X X+1 X 1 0 generates a code of length 19 over Z2[X]/(X^2) who´s minimum homogenous weight is 18. Homogenous weight enumerator: w(x)=1x^0+30x^18+30x^20+2x^22+1x^32 The gray image is a linear code over GF(2) with n=38, k=6 and d=18. As d=18 is an upper bound for linear (38,6,2)-codes, this code is optimal over Z2[X]/(X^2) for dimension 6. This code was found by Heurico 1.16 in 0.0011 seconds.