An octagonal prism, possibly.
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Faces: 10 Vertices: 16 Edges: 24
A prism with 16 vertices must be an octagonal prism and so has 10 faces.
It has 16 vertices and 10 faces. It is an octagonal prism.
Nonahedron
None.The closest would be a pentagonal prism which has 15edges, 10 vertices and 7 faces.Euler's characteristics for prisms show that V - E + F must equal 2.