I started with a dragon (found under lizards) named Drake. I only had to change 2 things but I'll go ahead and list every category because maybe the other components are randomized. Here is how to build the one I used to unlock the achievement (all the numbers I assigned are defined by starting from the first one and counting to the right):
* Wings - 4
* Horns - 3 with the circle
* Skin - 1, Color - 17
* Pattern - None
* Eyes - 8
* Tail - None
* Feet - None
* Wildness - 5
The red you need is locked at the beginning of the game and can be unlocked by exploring the world using the Atlas. The achievement unlocks upon applying the correct colors and saving the changes.
*Credit goes to Scrapdaddy* ( with a few adjustments from Ric the Dude)