The truth about healthy family relationships is that it requires the truth. You can't lie, deceive, prevaricate, taradiddle, fib, evade or "tell a story" and expect to have great family relationships. Any worthwhile relationship is predicated on trust. Trust requires truth. At the end of the day either you are honest or you are not.
A great question to ask yourself is, are you honest in your dealings with those around you? And less we think we are honest all the time, remember:
"To tell the truth is not merely to state the facts but to convey true intent." --Robert Louis Stevenson
You can state the facts and still have intent to deceive.
A great book about how to help build trust is Dr. Ben Bernstein's A Teen's Guide to Success: How to Be Calm, Confident, and Focused.