The Coyote has a dual power rating. 402 for 87 octane and 412 (11-12) for 93. The computer continually advances timing within programmed limits. This means a tuner can easily fudge numbers by changing gas.
Hypertech has two canned tunes that come with the Max energy programmer. They have a dyno sheet where they have an 87 octane base pull stock and a 87 octane pull with their canned tune, the canned tune produced 10 more hp on 87 octane. Then they dynoed their 93 octane canned tune and gained 17hp from the stock 87 octane pull. I guess that would be about 419 hp on 93.