The generator matrix 1 0 1 0 1 0 1 1 1 1 1 0 0 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 X X 1 1 X 1 1 1 1 1 1 1 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 X 1 1 X 1 1 0 1 1 X 1 1 0 1 0 1 0 1 X+1 X+1 X+1 0 X+1 1 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 1 1 X 1 1 X 1 X 1 X 1 0 X+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 0 0 X 0 0 0 0 0 X X X 0 X X 0 0 0 0 0 X X X X X X X X X X X X X 0 0 X 0 0 0 0 0 X X 0 X X 0 0 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 0 0 X 0 0 X X X 0 X 0 0 0 0 X 0 0 X 0 0 X 0 0 X 0 0 X 0 0 X 0 0 X 0 0 X 0 0 0 0 X 0 0 X 0 X 0 X X 0 X 0 X X 0 X X 0 X X 0 X X 0 X X 0 X X 0 X X 0 X X 0 X X 0 X X 0 X X 0 X X 0 X X 0 0 0 0 0 X 0 X 0 0 X X X X 0 0 X X X 0 X X 0 0 0 X 0 0 X X 0 X 0 X 0 X X 0 X X 0 X 0 0 X 0 0 X 0 X X 0 X 0 0 0 X X 0 X X 0 X X 0 X X X 0 0 X 0 0 0 X X X 0 0 X 0 0 0 X X 0 X 0 0 X 0 X 0 0 0 0 0 0 X X X X 0 X X X X X 0 0 X 0 0 X 0 0 X 0 0 0 0 0 X X X 0 0 X X X 0 X X X X 0 0 0 X X 0 0 0 0 X X X 0 0 X X X 0 X X 0 0 0 X X X 0 0 0 X X X X X X X X X X X X X 0 0 0 0 0 0 0 0 generates a code of length 92 over Z2[X]/(X^2) who´s minimum homogenous weight is 90. Homogenous weight enumerator: w(x)=1x^0+30x^90+64x^91+79x^92+64x^93+15x^96+2x^122+1x^124 The gray image is a linear code over GF(2) with n=184, k=8 and d=90. As d=90 is an upper bound for linear (184,8,2)-codes, this code is optimal over Z2[X]/(X^2) for dimension 8. This code was found by Heurico 1.16 in 23.6 seconds.