Primes 8k + 3 at the end of the maximal gaps in A269420.

Terms

a(0) =11a(1) =43a(2) =211a(3) =419a(4) =739a(5) =1259a(6) =1427a(7) =4931a(8) =15619a(9) =22483a(10) =43283a(11) =83843a(12) =273643a(13) =373859a(14) =1543811a(15) =5364683a(16) =5769403a(17) =20942083a(18) =137650523a(19) =251523163a(20) =369353099a(21) =426009691a(22) =938379811a(23) =1042909163a(24) =1378015843a(25) =1878781763a(26) =11474651731a(27) =12402607739a(28) =15931940483a(29) =51025311059