Primes 10k + 7 at the end of the maximal gaps in A269238.

Terms

a(0) =17a(1) =37a(2) =97a(3) =457a(4) =1087a(5) =4787a(6) =10837a(7) =28277a(8) =39607a(9) =61297a(10) =131267a(11) =250687a(12) =425837a(13) =2385587a(14) =2718017a(15) =3208327a(16) =5247757a(17) =6996907a(18) =7402867a(19) =23363807a(20) =27615167a(21) =46360747a(22) =103494877a(23) =118885867a(24) =499145587a(25) =544699457a(26) =705339487a(27) =760950587a(28) =1625987527