Who knows this convex polytope?

It's the Minkowski sum of the rhombic dodecahedron with a regular tetrahedron. (The rhombic dodecahedron is it self the Minkowski sum of four segments).

Is this it?
          

It seems to ressemble the "Self-Dual Icosioctahedron #4" :

http://dmccooey.com/polyhedra/SelfDualIcosioctahedron4.html

Some code:

sage: P = polytopes.rhombic_dodecahedron()
sage: Q = polytopes.tetrahedron()
sage: R = P.minkowski_sum(Q)
sage: R.f_vector()
(1, 28, 54, 28, 1)
sage: R.plot()