I have recently read the article about the Stargates and I have been comparing the designs in each galaxy. I tried to recall any Stargate from the Ori/Alteran home galaxy for comparison, but I couldn't.
We know that the inventor of the Stargate, Amelius, had left the Ori galaxy with other Alterans before he created it (all we see are the sketches/designs made on paper). Therefore, either the Ori do not have the knowledge how to create them, or they have invented them on their own. They surely have the understanding of the technology - we see them using the Milky Way stargates and they have constructed the Supergate.
We know that the Priors arrive in the Milky Way galaxy through Stargate, so we assume that there is another one on the other end. But do we ever see one? There might be a local Stargate network in the Ori galaxy or maybe they have just tapped into the Milky Way network with a different device?
The Stargate wikia lists a few in the Alteran galaxy, but does not have any images for them.