Least prime of a 6-tuplet that contains both a prime quadruple and a sexy prime quadruple.

Terms

a(0) =11a(1) =1481a(2) =1861a(3) =5641a(4) =88801a(5) =165701a(6) =266671a(7) =284731a(8) =326141a(9) =402751a(10) =626611a(11) =661091a(12) =855721a(13) =959461a(14) =1022501a(15) =1068241a(16) =1068701a(17) =1118851a(18) =1146781a(19) =1155601a(20) =1246361a(21) =1461401a(22) =1573921a(23) =1830331a(24) =1917731a(25) =2674531a(26) =2683771a(27) =3058871