11th Drive:

2049*2^819443-1 (246681 digits)

181*2^1250169-1 (376341 digits)

1387*2^1141865-1 (343739 digits)

2145*2^936349-1 is prime (281873 digits)

1185*2^1809466-1 (544707 digits)

11th drive:
2271*2^833261-1 (250840 digits)

11th drive:
2287*2^834717-1 (251279 digits)
2291*2^834838-1 (251315 digits)

I have been slack on reporting primes, the following all reported to the the top 5000 in the last few weeks.

285*2^1011134-1 (304385 digits)
271*2^1004527-1 (302396 digits)
279*2^1003356-1 (302043 digits)
9867*2^765777-1 (230526 digits)
9159*2^765464-1 (230432 digits)
9429*2^764153-1 (230037 digits)
9135*2^759248-1 (228561 digits)
9483*2^758474-1 (228328 digits)
9237*2^741081-1 (223092 digits)
9867*2^773510-1 (232854 digits)
9135*2^792578-1 (238594 digits)
9747*2^795466-1 (239464 digits)
9861*2^798765-1 (240457 digits)
9429*2^803592-1 (241910 digits)
9681*2^808098-1 (243266 digits)
9693*2^816507-1 (245798 digits)
9135*2^817799-1 (246186 digits)
9033*2^819100-1 (246578 digits)

11th Drive:

2289*2^831449-1 (250295 digits)

1305*2^1809766-1 (544797 digits)

11th drive:
2149*2^835769-1 (251595 digits)
2001*2^835849-1 (251619 digits)

More joy from the low weight numbers:
1087*2^2293345-1 (690369 digits)

1137*2^1145161-1 (344731 digits)

and another surprise from the low weight search
1207*2^2861901-1 (861522 digits)