Solution for 20Vpp output waveform opamp
I would suggest using a discrete class AB output stage preceded by a class A with minimal voltage gain and fed from your opamp output. Minimizing the gain here (so that most of your gain is in your op-amp stage) will be necessary so that you are not bandwidth limited and slew-rate limited in your output stage.  You are operating at 5MHz so you will want at least a 10Mhz bandwidth, maybe somewhat more.  This will not be trivial. 

You can operate your opamp at \$\pm 12\$V and swing it to \$\pm 10\$V , and then follow that with an A-AB amplifer stage with a gain of \$2\$V/V and powered from \$\pm 24\$V or so.

Here's a simplified view of an AB amplifier output stage. 



This is an emitter follower (common collector) buffer amplifier and has no gain, actually, but you can precede it with a common emitter amplifier (class A) for your gain stage. 

Something more like the following, although this one has two gain stages made up of Common Emitter amplifiers Q\$1\$ and Q\$2\$, and so it has too much gain for your needs (it has about x\$1600\$ gain... you want much less gain), meaning I am not proposing that you follow this exactly, it is a suggestion. 

You will need to pick discrete transistors that can operate up to \$10\$Mhz or so, and make sure that your choice of R's and C's don't create low pass  (or high-pass) filters that limit your bandwidth.