Step 1: Understanding the Concept
Each codon of the genetic code specifies one particular amino acid. For example, UUU always codes for phenylalanine.
Step 2: Name of the property
A codon that never codes for two different amino acids shows that the code is non-ambiguous (specific).
Step 3: Related properties
Degeneracy means one amino acid can have more than one codon, which is the reverse situation. Non-overlapping means successive triplets do not share bases.
Final Answer:
The code is non-ambiguous.
\[ \boxed{\text{(C) }\text{Code is non-ambiguous}} \]