How should a distillation column be designed to separate three materials with large differences in boiling points?

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There are three types of materials available: the first is benzene, with a boiling point of 80 degrees; the second is an alkane, with a boiling point of around 200 degrees; the third is a reconstituted component, with a boiling point of around 300 degrees. However, the temperature of the heat transfer oil is also around 300 degrees. The feed is a mixed feed, with benzene accounting for 60%, the second component accounting for 10%, and the third component accounting for 30%. The function of this tower is to remove all benzene; the output from the bottom of the tower can contain the second and third substances, but it must not contain benzene. The temperature at the bottom of the tower cannot be too high either; it must not exceed 270 degrees (so as not to reach the bubble point temperature of the mixture). How should the external distillation process of this tower be designed?