Tripple wall or double?

I have a LOPI (Endeavor) That is going into the corner wall of a mobile home single wide. I have my non combustible Hearth on the floor, I also have the fire brick on the two corner walls that it will come into close proximity (sp) with. The noncombustible distance for this stove is rated for a trailer home. The distance is 6.5" from corner of stove to wall (as stated by the plackerd on the back of the stove). I am going to go straight up threw the roof from the stove. I need to know what kind of pipe I will need to go threw the roof. I will have a flue on the pipe as well (if it is needed) and how close to the stove top should this be? Once i get it thew the roof how far above the roof does this pipe need to go? Any thing I am missing?