Final answer:
Intravenous administration of opioids has the highest incidence of pruritus, which refers to the sensation of itching on the skin or mucous membranes.
Step-by-step explanation:
The mode of opioid administration with the highest incidence of pruritus is intravenous. When opioids are administered intravenously, they have a greater tendency to cause itching or pruritus as a side effect. Pruritus refers to the sensation of itching, which can occur on the skin or mucous membranes.