The generator matrix 1 0 0 1 1 1 X 1 1 X 1 X 1 0 1 1 X 1 X 1 1 0 0 1 1 X 1 0 1 X 1 1 0 1 1 0 1 X 1 X 1 0 1 1 X 1 1 X X 1 1 1 1 0 0 0 1 1 1 1 1 1 1 1 0 1 1 1 1 1 1 1 1 0 1 1 1 1 0 1 X 1 1 1 1 1 1 1 X 1 1 1 1 0 X 0 X 0 X 0 1 0 0 1 X+1 1 X X+1 1 0 0 1 1 X X+1 1 1 X X 1 1 X X+1 0 1 X 1 0 1 1 0 1 X+1 X 1 X+1 0 X 1 1 0 X 0 X 1 X+1 1 1 X 0 X+1 1 1 1 X 0 0 0 0 X X X X 0 X X X 0 1 X+1 X+1 X+1 1 1 1 X+1 X+1 X 0 0 1 X+1 X+1 X+1 X 0 0 0 1 1 1 1 0 X X X 0 1 0 0 1 1 X+1 0 X+1 1 X+1 X X 1 X 1 1 X 1 1 1 0 0 0 1 1 1 X X X+1 0 1 X+1 X X+1 X+1 X+1 X X 1 X+1 0 0 1 X X+1 1 1 0 0 X+1 0 X+1 1 X X 1 1 0 0 X X X 0 1 X+1 1 X 0 1 X+1 1 1 0 X X X+1 X+1 0 X 0 1 X 1 X+1 1 X+1 X+1 X+1 1 0 X X 0 0 X X X 0 0 1 0 0 0 X X X 0 0 0 X X X 0 X X X 0 X 0 0 0 X X 0 0 0 X X X X 0 0 0 X X X 0 0 0 0 X X 0 0 X 0 0 X X X X X X 0 0 0 0 X X 0 0 0 0 0 X X X X 0 0 0 0 0 X X 0 X X X X X X X X 0 X X 0 X 0 X X 0 X X X X X 0 generates a code of length 99 over Z2[X]/(X^2) who´s minimum homogenous weight is 98. Homogenous weight enumerator: w(x)=1x^0+60x^98+54x^100+4x^102+2x^104+6x^108+1x^128 The gray image is a linear code over GF(2) with n=198, k=7 and d=98. As d=98 is an upper bound for linear (198,7,2)-codes, this code is optimal over Z2[X]/(X^2) for dimension 7. This code was found by Heurico 1.16 in 28.9 seconds.