The generator matrix 1 0 0 1 1 1 X 1 1 X 1 1 0 X 1 1 X 0 1 1 0 1 1 1 1 X 0 X 1 1 0 1 1 0 X 1 1 1 1 1 1 1 1 1 1 1 1 0 X 0 X X 0 0 X X X 1 0 1 X 0 1 1 1 1 1 1 1 1 1 1 1 1 0 1 0 X 1 X+1 1 X 0 0 1 X+1 1 1 X+1 1 1 1 X 0 X X+1 X 0 1 1 1 X 0 X 0 1 X+1 1 1 0 X X 1 X+1 0 X+1 1 X 0 X+1 1 1 1 X 1 1 1 1 X 0 0 X 0 0 X X X 0 1 X+1 0 0 X X X+1 X+1 1 1 0 0 1 1 X+1 X 1 X+1 X 1 1 0 X X+1 X+1 X X X+1 X X+1 1 1 0 1 0 0 1 1 0 1 1 1 0 X 1 X 0 X+1 X+1 X X+1 X+1 X X 1 1 0 0 X+1 1 X 0 X+1 1 1 1 0 1 X X+1 0 X X+1 1 1 1 0 X X 0 0 X X 0 generates a code of length 74 over Z2[X]/(X^2) who´s minimum homogenous weight is 74. Homogenous weight enumerator: w(x)=1x^0+48x^74+7x^76+7x^80+1x^92 The gray image is a linear code over GF(2) with n=148, k=6 and d=74. As d=74 is an upper bound for linear (148,6,2)-codes, this code is optimal over Z2[X]/(X^2) for dimension 6. This code was found by Heurico 1.16 in 0.0965 seconds.