The generator matrix 1 0 1 1 1 0 1 1 0 1 1 0 1 1 X 1 1 X 1 1 X 1 1 X 1 1 1 1 X X X 0 X 0 0 X 1 1 X 1 1 0 X 0 1 1 0 X+1 1 0 X+1 1 0 1 1 X X+1 1 X X+1 1 X 1 1 X 1 1 0 0 0 0 X X X X 0 X X 0 X+1 X+1 0 X+1 X+1 1 1 0 0 X 0 X 0 X 0 X X 0 X X 0 X 0 X 0 X X X 0 0 0 0 0 X X X X 0 0 0 X X X 0 0 X X X 0 0 0 0 0 X X X X 0 0 0 X X 0 X 0 X 0 X X X X 0 0 0 0 X X 0 0 X X X X X 0 X 0 X 0 X 0 0 0 generates a code of length 43 over Z2[X]/(X^2) who´s minimum homogenous weight is 42. Homogenous weight enumerator: w(x)=1x^0+40x^42+8x^44+4x^46+7x^48+4x^50 The gray image is a linear code over GF(2) with n=86, k=6 and d=42. As d=42 is an upper bound for linear (86,6,2)-codes, this code is optimal over Z2[X]/(X^2) for dimension 6. This code was found by Heurico 1.16 in 0.922 seconds.