From k>2000:

2051*2^366058-1 (110198 digits)
2233*2^367239-1 (110554 digits)

886298985*2^409021-1 (123137 digits)

2805*2^390941-1 (117689 digits)

857996205*2^346022-1 (104172 digits)

914135145*2^414569-1 (124807 digits)

Actually found this a week ago, but forgot to post it to this thread.
228461805*2^402418-1 (121,149 digits)

Nice prime Kuratkull!

From the Fifth Drive

279*2^587881-1 (176973 digits)

201 520586 is prime. March was dry.. I hope April makes up for it.
-Curtis

914135145*2^416219-1 (125304 digits)

915779865*2^318349-1 (95842 digits)