Prime p₀= 2309291517175078979 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 10 2 76 2 76 2 10 2 (?)
a_n: 0 2 12 14 90 92 168 170 180 182
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: 182
Found by: Landjunge
db: batch=81, k=10, 2 10 2 76 2

STPT(10)	2309289169614789881	0 2 36 38 78 80 120 122 156 158	-2347560289098
STPT(10)	2309289208667552567	0 2 30 32 42 44 54 56 84 86	-2308507526412
STPT(12)	2309290006591057727	0 2 12 14 42 44 180 182 210 212 222 224	-1510584021252
STPT(10)	2309290507574567519	0 2 30 32 60 62 90 92 120 122	-1009600511460
SPT(16)	2309290627033430239	0 24 28 124 132 168 174 294 358 478 484 520 528 624 628 652	-890141648740
STPT(10)	2309291453063065481	0 2 6 8 48 50 90 92 96 98	-64112013498
STPT(10)	2309291654504991881	0 2 6 8 48 50 90 92 96 98	137329912902
STPT(10)	2309291838951819017	0 2 30 32 102 104 174 176 204 206	321776740038
STPT(10)	2309292097504106357	0 2 24 26 42 44 60 62 84 86	580329027378
STPT(10)	2309292224938179449	0 2 48 50 90 92 132 134 180 182	707763100470
SPT(16)	2309292609467903963	0 18 50 68 78 96 156 168 236 248 308 326 336 354 386 404	1092292824984