The generator matrix 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 0 X 0 0 0 0 0 0 0 X X X X X X X 0 0 0 0 0 0 0 0 X X X X X X X X 0 0 0 0 X X 0 0 X X 0 0 X X X X 0 0 0 X 0 0 0 X X X X X 0 X X 0 0 0 0 0 0 X X X X X X X X 0 0 0 0 0 0 0 X X 0 0 X X 0 X X X X 0 0 0 0 0 0 X 0 X X X 0 0 0 0 X X X X 0 0 X X X X 0 0 0 0 X X X X 0 0 0 0 X X 0 0 X X X X 0 0 0 X X 0 0 0 0 0 0 X X 0 X X 0 X X X 0 0 X 0 X X 0 0 X X 0 0 X X 0 0 X X 0 0 X X 0 0 0 0 X X 0 X 0 X 0 X X 0 generates a code of length 49 over Z2[X]/(X^2) who´s minimum homogenous weight is 48. Homogenous weight enumerator: w(x)=1x^0+15x^48+32x^49+15x^50+1x^98 The gray image is a linear code over GF(2) with n=98, k=6 and d=48. As d=48 is an upper bound for linear (98,6,2)-codes, this code is optimal over Z2[X]/(X^2) for dimension 6. This code was found by Heurico 1.16 in 0.0148 seconds.