The esoteric meaning of the number 16 indicates you have recently acquired new knowledge and face a decision. You will need to call upon qualities such as strength and self-control. In the case of addiction, the 16 will appear if you have taken the decision to quit.
The 16th card of the Tarot, for example, is The Tower, which means the breaking down of old forms. Although the imagery looks like a disaster scene, The Tower is actually a great card to pull in a tarot reading as it signifies a change in your life.
When reversed, on the other hand, it means you are not ready to change your habits. You are at a crossroads and are either unwilling to change or struggling to quit and addiction even though you should.
When sixteen appears in repeatedly in your life therefore, it is a sign that you must cultivate willpower and initiate positive action and kill negative aspects of your life. Unless you can overcome vices or obstacles you will not move forward.
In gematria, the esoteric meaning of the number 16 shares correspondence with the symbolic meaning of the number seven. There is the divine number of Mother Goddess which bears a resemblance to Binah in the Kabbalah Tree of Life. This gives us a clue that the seven, and thus the sixteen, relates to the acquisition of knowledge.
When you act upon knowledge you have acquired, the energy transforms to wisdom whereby it becomes an automatic program of your subconscious.
Therefore when you see 16, you should listen to what your inner genius is telling you.