Starting from the previously established hypothesis on the existence of the coherence of the chemical and genetic code, new facts and new insights on the existence of essential analogies between the genetic and chemical code are presented, whereby the chemical code is derived from the original Mendeleev work on the periodic system of chemical elements. When, namely, all elements are scheduled into adequate groups of Periodic system of chemical elements, in accordance to Mendeleev original manuscript tables, then are revealed some very specific mathematical and chemical regularities; among others, Periodic system appears to be a code – the chemical code – in an entity analogy with the terrestrial genetic code. These regularities correspond to the mathematical regularities within the genetic code. Between others relations, it appears also a correspondence between the distribution of codons in the Genetic Code Table and the distribution of chemical elements in the Periodic system with respect to their even/odd parity and stability/instability of the isotopes.