* Misinterpret: To understand something incorrectly.
* Reinterpret: To interpret something again, often in a different way.
* Overinterpret: To interpret something too much or to give it more meaning than it has.
* Underinterpret: To interpret something less than it deserves.
* Cointerpret: To interpret something together with someone else.
* Preinterpret: To interpret something before it is fully understood.
The best prefix to use will depend on the specific context.