sieved to 1e12 with Sr2sieve, checked with strong (Miller-Rabin) tests in bases 2, 3, 5, 7, 11, 13, 17, 19, 23, and 29
Both this and the previous submission eliminate sequences 2^n+k from the dual Sierpinski problem, see:
http://sierpinski.insider.com/dual

To be completed...