The "Density of a black hole" is misleading. A black hole is a VACUUM solution to the Einstein's equations.
If you are interested in the biggest possible density of matter, then look at neutron stars. These are solutions to the full Einstein's equations with matter.
The composition of the core of neutron stars is still an open problem. In some models you can find exotic matter, even heavy baryons and quark-gluon plasma. Is estimated that the central density can range between $10^{14}- 10^{15} \rm g/cm^3$.
Some References:
-Neutron Star Observations:
Prognosis for Equation of State Constraints (2006) (See p. 9)