Assuming you know how to play octaves at a reasonable speed, the "trick" here is to chunk them effectively. In other words, consider a group of them a single thing.
In this instance, I'd chunk them differently to the grouping they're written in and chunk each two semiquavers together with the quaver in the following (written) group. Not totally certain of that since I don't recognise the piece, but it doesn't appear to have phrasing that conflicts with that. It is important to not let your chunking interfere with the rhythm.
To practice, start slowly and do da da daaa alternating going up a semitone, down a semi tone, up a tone, down a tone, starting on a black note and a white note. One da da daaa then pause then another. Don't overdo it in any one sitting - five or so minutes a few times a day- but in a few days (or maybe more) your brain or whatever will click in and the pattern will be set. Then you can start to go fast.