The generator matrix 1 0 0 1 1 1 X 1 1 1 1 1 0 X 1 1 1 1 1 1 1 0 X 0 1 0 X 1 X+1 1 X 0 0 1 X+1 1 1 X X 0 X+1 1 X+1 1 X 0 0 0 1 1 X+1 X 1 X+1 1 X 1 0 X X+1 X 0 X+1 X+1 X 1 0 1 0 generates a code of length 23 over Z2[X]/(X^2) who´s minimum homogenous weight is 22. Homogenous weight enumerator: w(x)=1x^0+30x^22+30x^24+2x^30+1x^32 The gray image is a linear code over GF(2) with n=46, k=6 and d=22. As d=22 is an upper bound for linear (46,6,2)-codes, this code is optimal over Z2[X]/(X^2) for dimension 6. This code was found by Heurico 1.16 in 0.00178 seconds.