The solar calendar used by the Jewish sect around the caves of Qumran used a perfect year of 364 days or 52 weeks. It may have used a cycle of 294 years reckoned to equal 293 solar years, which gives a mean solar year of 365.24232 days, but the actual leap rule used, if any, is unknown.
References 
Edit
- Times of Israel, 2018-02-09: 2000-year old Dead Sea Scroll Deciphered, Revealing 2nd Temple Power Struggles
- Wikipedia: Qumran calendrical texts
See Also Edit
- Enoch Calendar: similar calendar, probably related, perhaps even the same
- 28/293 Calendar: uses the alleged cycle of 293 solar years
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