Dear Mr. Thompson,
Thank you for posting your request on History Hub!
The MLK tapes and documents by the U.S. District Court order, do exist, are in our custody, and will be subject to release in 2027 in accordance with the order. Additional information can be found on NARA's website at this link: https://www.archives.gov/research/jfk/select-committee-report/part-2d.html#surveillance
We hope this information is helpful.