The generator matrix 1 0 1 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 0 1 1 0 1 1 1 1 1 1 1 1 X X X X X X X X X X 0 0 0 0 0 0 1 1 1 1 0 X 1 1 1 1 0 X 1 1 1 1 0 X X X 0 1 1 0 1 1 X 1 1 1 1 X 0 1 1 0 X+1 1 0 X+1 1 0 1 1 X X+1 1 X X+1 1 X 1 1 X 1 1 0 X+1 1 0 X+1 1 0 X+1 1 0 X+1 1 X X X X 1 1 1 1 1 1 1 1 0 0 0 X X X X X X 0 0 0 0 X X+1 1 1 1 0 X X+1 1 1 1 0 X X+1 1 1 1 0 X X 0 X+1 1 X 1 1 0 0 0 X X 0 0 X 0 X 0 X 0 X X 0 X X 0 X 0 X 0 X X X 0 0 0 0 0 0 X X X 0 0 X X X 0 X X 0 0 X X 0 0 X X 0 0 0 X X X X 0 0 X X X X 0 0 0 0 0 0 0 X X X X X X 0 0 0 0 X X 0 0 0 X X 0 X X 0 0 0 X X 0 0 0 0 X X X X 0 0 0 X X 0 X 0 X 0 X X X X 0 0 0 0 0 X X X 0 X X X 0 0 0 0 X X 0 0 X X 0 0 X X 0 X X 0 0 X X X X 0 0 X X 0 0 0 0 X X X X X X 0 0 X X X X X X 0 0 0 0 0 0 0 0 0 0 X X 0 0 generates a code of length 92 over Z2[X]/(X^2) who´s minimum homogenous weight is 92. Homogenous weight enumerator: w(x)=1x^0+36x^92+16x^94+9x^96+2x^104 The gray image is a linear code over GF(2) with n=184, k=6 and d=92. As d=92 is an upper bound for linear (184,6,2)-codes, this code is optimal over Z2[X]/(X^2) for dimension 6. This code was found by Heurico 1.16 in 0.152 seconds.