Prime p₀= 2899777000057396577 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 22 2 16 2 16 2 22 2 (?)
a_n: 0 2 24 26 42 44 60 62 84 86
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: 86
Found by: [SG-2W]Kurzer
db: batch=82, k=10, 2 22 2 16 2

SPT(16)	2899775269644363367	0 10 34 54 76 82 96 102 154 160 174 180 202 222 246 256	-1730413033210
STPT(10)	2899775538288346979	0 2 48 50 60 62 72 74 120 122	-1461769049598
SPT(16)	2899775829630664051	0 36 46 48 130 168 172 190 228 246 250 288 370 372 382 418	-1170426732526
STPT(10)	2899776292658354279	0 2 18 20 30 32 42 44 60 62	-707399042298
SPT(16)	2899776833498323859	0 14 20 78 92 114 168 182 240 254 308 330 344 402 408 422	-166559072718
STPT(10)	2899776916675107611	0 2 6 8 18 20 30 32 36 38	-83382288966
STPT(10)	2899777392837061949	0 2 18 20 60 62 102 104 120 122	392779665372
SPT(16)	2899777808958277103	0 6 20 38 48 84 156 174 290 308 380 416 426 444 458 464	808900880526
STPT(10)	2899778302480474109	0 2 30 32 60 62 90 92 120 122	1302423077532
SPT(16)	2899778788440057283	0 28 40 118 138 168 174 180 184 190 196 226 246 324 336 364	1788382660706
SPT(16)	2899779522214021861	0 18 22 112 120 148 156 238 270 352 360 388 396 486 490 508	2522156625284