What is a type of opium derived from morphine?

That's quite an odd question, because morphine is actually derived from opium!

Opium is the latex you get from the opium poppy - papaver somniferum - and it contains several useful opiates including codiene and morphine. It also contains thebaine, which although not useful itself, is converted into many useful drugs such as oxycodone, hydrocodone, methadone etc..

The only thing I've heard of that is 'derived' from morphine is heroin, or diacetylmorphine. This was initially used as an alternative to morphine for addicts, because they thought it was less addictive. Unfortunately as you probably know this is definitely not the case and sadly they created a load of heroin addicts.