  A model with two entangled spin-3/2 particles based on geometry of
dodecahedron was suggested by Roger Penrose for formulation of analogue of Bell
theorem "without probabilities." The model was later reformulated using
so-called Witting configuration with 40 rays in 4D Hilbert space. However, such
reformulation needs for some subtleties related with entanglement of two such
configurations essential for consideration of non-locality and some other
questions. Two entangled systems with quantum states described by Witting
configurations are discussed in presented work. Duplication of points with
respect to vertices of dodecahedron produces rather significant increase with
number of symmetries in 25920/60=432 times. Quantum circuits model is a natural
language for description of operations with different states and measurements
of such systems.
