Generalized repunit prime (base -239).
For base -244, I found R71, R613.
For base -243, no possible prime.
For base -242, I found R2, R5, R137, R2011.
For base -241, I found R19, R37, R853, R3169, R7507.
For base -240, I found R2, R7.
For base -239, I found R59, R601, R8867.

To be completed...