The generator matrix 1 0 0 1 1 1 X 1 1 X 1 X 1 0 1 1 1 1 X 1 X 1 0 0 0 1 1 X 1 1 X 0 0 0 0 1 1 X X 1 1 1 0 0 1 0 0 1 X+1 1 X X+1 1 0 0 1 1 X X X+1 X+1 1 0 1 X+1 1 X 1 X X+1 1 X 0 1 1 1 1 1 0 0 1 1 X X X X 0 0 1 1 X+1 0 X+1 1 X+1 X X 1 X 1 1 X+1 X X 1 0 0 1 X+1 1 X 0 1 0 X+1 X X+1 0 1 X X+1 X+1 X+1 X 1 X X 0 1 0 0 0 X X X 0 0 0 X X X 0 X X 0 X 0 0 X X 0 X 0 0 0 X 0 X 0 X X 0 X 0 X 0 0 X 0 X X X generates a code of length 43 over Z2[X]/(X^2) who´s minimum homogenous weight is 41. Homogenous weight enumerator: w(x)=1x^0+36x^41+28x^42+28x^44+24x^45+3x^46+3x^48+4x^49+1x^62 The gray image is a linear code over GF(2) with n=86, k=7 and d=41. As d=41 is an upper bound for linear (86,7,2)-codes, this code is optimal over Z2[X]/(X^2) for dimension 7. This code was found by Heurico 1.16 in 1.57 seconds.