Here is the full list of all 15 Tembo The Badass Elephant trophies - there are 13 bronze, 1 silver and 1 gold.
You accomplished all of your Missions. You did it all. You are a supreme soldier. WE SALUTE YOU!
You obliterated every last PHANTOM enemy in or around this fair island!
You defeated the PHANTOM Commander and thwarted the PHANTOM invasion!
You rescued all the civilians in or around this island.
You obliterated the third PHANTOM Dome.
You currently hold 99 Peanut Butter Jars. I mean, that's a lot of Peanut Butter.
You destroyed all the PHANTOM enemies in a zone.
You currently hold 10 Peanut Butter Jars.
You demolished the second PHANTOM Dome.
You rescued all the civilians in a zone.
You destroyed the first PHANTOM Dome.
You smashed the PHANTOM Lock.
You destroyed all the PHANTOM enemies in a stage.
You rescued all the civilians in a stage.
Your training is complete.