TFA-Key Lime is kind of what I was thinking too. It still may not be "artificial lime" enough, for
@jeffsos3000's candy preferences; but it won't have the strong peel notes that either of the FA-Tahiti's have.
Something else I was thinking was that lime lifesavers, and I imagine lime nerds (I've never had them), are (for all practical purposes) almost entirely sugar. therefore, in
my mind, this is a candy with lime flavor (sweet candy first; lime taste second) instead of lime candy (lime first; with a secondary sweet).
If the candy jellies
@Letitia suggested don't do the trick, and
I had to start from scratch, I would be looking at a high dominant sweet base note as my core (perhaps with Sweetener/sucralose, Stevia, or even marshmallow; and maybe even a bit of EM for the added mouthfeel + taking a bit more of the "realness" out of the lime). Once I got the sweet base where I wanted it, then I would move on with a very low secondary note of lime (maybe 1%; or even less depending on specific concentrate chosen) aiming for more of a suggestion of lime, vs. a real lime presence. Then follow up with a bit of sour if a bit of zing is wanted. Dragon Fruit might help bring about a bit more of the candy-like aspect of the lime; and INW-Cactus could add a bit of moistness/juiciness if too "dry." But I would definitely start from the "sweet" and work my way out; adding only the bare minimums to get the additional notes desired.