Here is what Evgeny Stalev did. Not quite as straightforward as the paths you all suggested, but he got through it on his way to a 226-ball run. ...
Many people talked about that run as 225 or 226 at the time (2014). It was a rather historical and memorable feat, so I corrected those reports whenever I could. Despite that, the error has persisted.
Stalev's run was 224.
He started his run at a score of (-1), and Davis also was at (-1).
Then he ran 10 full racks (140 points) plus 11 balls from the 11th rack for the "151 and out" that gave him the game score of 150 - (-1).
He continued, running the remaining 3 balls from the 11th rack plus 5 more full racks, i.e., an additional 73 balls.
Total run: 151 + 73 = 224.
Or, just view it as 16 full racks at 14 balls each = 224. He missed the break shot for the 17th rack.
[Now, back to the discussion of patterns.]