Primes 8k + 3 preceding the maximal gaps in A269420.

Terms

a(0) =3a(1) =19a(2) =179a(3) =379a(4) =691a(5) =1187a(6) =1307a(7) =4787a(8) =15467a(9) =22307a(10) =43067a(11) =83579a(12) =273323a(13) =373459a(14) =1543291a(15) =5364091a(16) =5768803a(17) =20941259a(18) =137649667a(19) =251522291a(20) =369352163a(21) =426008699a(22) =938378747a(23) =1042908091a(24) =1378014731a(25) =1878780427a(26) =11474650339a(27) =12402606331a(28) =15931938899a(29) =51025309339