As others have said, you can't have self-sustained fusion with gold. But is there a chance you might make fission work?
If you look at all the atoms, the light ones can give off energy by fusion. Like hydrogen combining to make helium (sometimes a little bigger atoms, but still on the small side, getting bigger. This is what occurs in the sun or in hydrogen bombs.
In contrast, the heavy elements can give off energy by FISSION. Heavy atoms splitting into smaller ones. The best example here is uranium or plutonium in fission bombs or reactors.
In the middle, you have Fe. It's basically dead. Can't get energy from fission or fusion of iron.
Now gold is to the heavier side of iron. So it's not going to do fusion. It might do FISSION though. I totally haven't thought this through...but on a worldbuilding site with sufficient handwaving (with a bias to making the idea work), perhaps you could imagine some massively huge/dense bunch of gold, where neutrons can build up and be moderated/absorbed/cause fission. Given the huge size, leakage would be low, so even a very crappy reaction might become self-sustaining.
Perhaps some trace isotopes that emit neutrons (or perhaps seeding with a minor amount of uranium or other neutron sources), then perhaps you could get a self-sustaining fission reaction where enough neutrons are produced from gold fission to sustain the reaction.
Gravity would tend to keep the stuff from flying apart (same as fusion). And you end up with some sort of equilibrium of gravity/nuclear reaction in terms of the stuff hanging out as a star (not blowing up, not shutting down).
If this were possible, you'd have a shining fission star, not a fusion star. Maybe not quite as bright as a fusion star. But still a ball of very hellish energy.
In terms of the atoms that would result, you get a distribution of smaller elements. With uranium, this tends to be bimodal. Centered at half of the nuclear mass, but with peaks to either side. It's called the Mae West curve. See here:
As you can see, the two peaks are actually about 20 mass units below/above the half-weight of U-235.
I'm not sure about gold, but it seems reasonable to expect some similar bimodal distribution centered around half the nuclear mass. If not, then a normal distribution centered around the middle. I sort of think bimodal is more likely though. Has to do with the jellium* model of how fissioning atoms split.
If we assume something similar for Au-197 (stable isotope of Au), then we could assume about 100 for the midpoint. So something around 80 and 120 for the two peaks of the Mae West curve. Might be a little tighter like 85 and 115, given gold is smaller than uranium. Stable nuclide atoms in that weight are, respectively rubidium and indium.
Of course, you are going to get a soup of atoms and nuclides of atoms. Some of these may react a little further in various fashion to move up/down slightly in the atomic number. But the big picture: lots of rubidium and stuff close to it. And lots of indium and stuff close to it.
*Not joking that's what it's called...nukes love their little names...look up "barns" for instance.