The generator matrix 1 0 0 1 1 1 X 1 1 X 1 X 1 0 1 1 1 0 1 X 1 1 0 X 1 1 1 1 X 0 1 1 1 1 1 1 0 0 X X 0 0 1 1 X 1 1 X 0 0 1 0 0 1 X+1 1 X X+1 1 0 0 1 1 X 0 1 1 X+1 1 0 0 0 0 X X+1 X 1 1 1 X X X 1 1 X+1 1 1 X X 1 1 X+1 X+1 1 0 1 1 X 0 0 1 1 X+1 0 X+1 1 X+1 X X 1 X 1 1 1 X+1 0 X+1 X 0 X 1 1 X+1 0 X+1 X X+1 1 X X 0 1 1 1 X X 1 1 X+1 X+1 X X 1 X+1 0 0 1 0 0 0 X X X 0 0 0 X X X 0 X X 0 0 X X 0 X 0 X 0 X 0 0 X X 0 0 X X 0 X X X 0 0 X 0 X X 0 X 0 0 0 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+91x^48+28x^52+8x^56 The gray image is a linear code over GF(2) with n=98, k=7 and d=48. As d=48 is an upper bound for linear (98,7,2)-codes, this code is optimal over Z2[X]/(X^2) for dimension 7. This code was found by Heurico 1.16 in 0.425 seconds.