trouble running samirax model with seasonality as 288

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My time series has a frequency of 5 minutes, and every 24 hours it has a seasonality so s=288. I tried to run SARIMAX with s=288, but it's too big and the computer can't hold it up. Is there other ways to get this seasonality counted while running an model?

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the orders are as below.

sarima_order = (11,1,1)  
seasonal_order=(6,0,0,228)
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