The generator matrix 1 0 0 1 1 1 X 1 X^2+X 1 1 1 X^2 X^2+X X^2+X X^2 1 1 X^2+X 1 1 X^2+X 1 0 1 X 1 1 X^2 1 1 X^2 1 1 1 1 X 0 1 1 1 1 1 1 1 1 1 1 0 1 0 X^2 X^2+1 1 1 0 0 X^2 X^2+1 1 1 1 X^2+X X X X^2+X+1 1 X^2+X X+1 1 X 1 0 1 X^2+X+1 X^2+X 1 X^2+1 X^2+X 1 X+1 X^2 1 X^2+1 1 1 1 X^2+X+1 X^2+1 X^2+X+1 X+1 X^2+X+1 X+1 1 X^2+X+1 X^2+X 0 0 1 X^2+X+1 X+1 X^2 X^2+1 X 1 1 X^2+1 X^2+X X X+1 1 1 X 1 X X^2 X+1 X^2 1 X^2+X+1 X^2+1 X^2+X+1 X X+1 1 0 X^2+1 X+1 X^2+X+1 X+1 X^2+X+1 1 1 1 X^2+1 0 X^2+X+1 X+1 X^2+1 X^2+X 0 X^2+X X^2+1 X^2+X+1 generates a code of length 48 over Z2[X]/(X^3) who´s minimum homogenous weight is 46. Homogenous weight enumerator: w(x)=1x^0+248x^46+124x^48+80x^50+56x^54+3x^64 The gray image is a linear code over GF(2) with n=192, k=9 and d=92. As d=93 is an upper bound for linear (192,9,2)-codes, this code is optimal over Z2[X]/(X^3) for dimension 9. This code was found by Heurico 1.16 in 53.8 seconds.