The generator matrix 1 0 1 1 1 0 1 1 0 1 0 1 1 1 0 1 1 0 1 1 0 1 1 0 1 1 X 1 1 X 1 1 X 1 1 X 1 1 X 1 1 X 1 1 X 1 1 X 1 1 0 1 1 0 1 1 0 1 1 0 1 1 X 1 1 X 1 1 X 1 1 X 1 1 0 1 1 0 1 1 X 1 1 X 1 1 0 1 1 X 1 1 0 1 1 X 0 1 1 0 1 1 0 X+1 1 0 1 X+1 1 0 1 0 X+1 1 0 X+1 1 0 1 1 X X+1 1 X 1 1 X X+1 1 X 1 1 X X+1 1 X 1 1 X X+1 1 X 1 1 0 X+1 1 0 X+1 1 0 X+1 1 0 X+1 1 X 1 1 X 1 1 X 1 1 X 1 1 0 X+1 1 0 X+1 1 X 1 1 X 1 1 0 X+1 1 X 1 1 0 X+1 1 X 1 1 0 0 X 0 0 0 0 0 0 0 0 0 0 X X X X X X X X X X X X 0 X X 0 X X 0 X X 0 X 0 X 0 0 X 0 0 X 0 0 X 0 0 0 0 0 0 0 X X X X X X X X X X X X 0 0 0 0 0 0 0 0 0 X X X X X X 0 0 0 0 0 X 0 0 X X X 0 X X 0 0 0 0 X 0 0 0 0 X X X X X X X X 0 X 0 X 0 0 X 0 0 0 0 0 0 0 X X X X X X X X X X X X 0 0 0 0 0 0 0 0 0 X X X X X X 0 0 0 0 0 0 X X X X X X 0 0 0 0 0 X X X 0 X X 0 0 0 X X X X X X X 0 0 0 0 0 0 0 0 0 0 X 0 0 X 0 0 0 X X X X X 0 X X 0 X X 0 X X X X X X X X X X X X X 0 0 0 0 0 0 0 0 0 0 0 0 X 0 X X 0 X 0 X 0 0 X 0 0 X 0 0 X 0 X 0 X X 0 X X 0 X 0 X 0 0 X 0 X 0 X X 0 0 X 0 0 0 X X 0 X X 0 0 0 0 0 X X X X X 0 0 X X X 0 X 0 0 0 0 X X X X 0 X 0 X 0 0 X 0 X 0 X 0 X 0 X 0 X X 0 X 0 X 0 X 0 0 0 X X 0 X X X 0 0 X 0 0 0 X X 0 X X X 0 0 0 X 0 X 0 X X 0 X 0 X 0 X 0 0 X 0 0 0 X X 0 X X generates a code of length 96 over Z2[X]/(X^2) who´s minimum homogenous weight is 96. Homogenous weight enumerator: w(x)=1x^0+252x^96+3x^128 The gray image is a linear code over GF(2) with n=192, k=8 and d=96. As d=96 is an upper bound for linear (192,8,2)-codes, this code is optimal over Z2[X]/(X^2) for dimension 8. This code was found by Heurico 1.16 in 0.224 seconds.