Prime p₀= 2273114501613458561 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 34 2 40 2 40 2 34 2 (?)
a_n: 0 2 36 38 78 80 120 122 156 158
All 10 integers p_n = p₀+a_n = p_n-1+d_n are prime and there are no other primes in the gaps.
diameter: 158
Found by: MarkRBright
db: batch=81, k=10, 2 34 2 40 2

SPT(16)	2273112475935107143	0 54 58 60 84 96 168 250 294 376 448 460 484 486 490 544	-2025678351418
TPT(16)	2273113007926038791	0 2 336 338 468 470 480 482 546 548 606 608 678 680 690 692	-1493687419770
SPT(16)	2273113539971195069	0 68 74 192 260 308 330 338 444 452 474 522 590 708 714 782	-961642263492
STPT(10)	2273114070316865717	0 2 30 32 42 44 54 56 84 86	-431296592844
SPT(16)	2273114290012512311	0 26 30 56 68 98 122 138 140 156 180 210 222 248 252 278	-211600946250
SPT(13)	2273114420806797679	0 12 30 42 48 72 90 108 132 138 150 168 180	-80806660882
STPT(10)	2273114533284528119	0 2 18 20 30 32 42 44 60 62	31671069558
SPT(16)	2273115075820587839	0 2 24 32 44 54 80 84 140 144 170 180 192 200 222 224	574207129278
SPT(16)	2273115080028863617	0 22 30 46 60 72 100 106 120 126 154 166 180 196 204 226	578415405056
STPT(10)	2273115214879837091	0 2 30 32 78 80 126 128 156 158	713266378530
STPT(10)	2273115231245246417	0 2 12 14 42 44 72 74 84 86	729631787856