The generator matrix 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 X 0 X X^2 1 1 1 1 X X X X 0 X^2 1 1 X X 1 1 X^2 0 X X X X X^2 0 X^2 1 0 X X^2 X^2+X 0 X^2+X X^2 X 0 X^2+X X^2 X 0 X^2+X X^2 X X^2+X X X X 0 X^2 X^2+X X 0 X^2 X^2+X X X X 0 X^2 0 X^2 X^2+X X X^2 X^2 X^2+X X 0 X^2 0 X X 0 generates a code of length 46 over Z2[X]/(X^3) who´s minimum homogenous weight is 46. Homogenous weight enumerator: w(x)=1x^0+2x^46+20x^47+3x^48+4x^49+2x^50 The gray image is a linear code over GF(2) with n=184, k=5 and d=92. This code was found by Heurico 1.16 in 0.0496 seconds.