Prime p₀= 2577536999180266787 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 40 2 28 2 28 2 40 2 (?)
a_n: 0 2 42 44 72 74 102 104 144 146
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: 146
Found by: [SG-2W]Kurzer
db: batch=82, k=10, 2 40 2 28 2

SPT(16)	2577534785289938377	0 10 72 96 102 112 150 156 220 226 264 274 280 304 366 376	-2213890328410
SPT(16)	2577535368709166519	0 54 78 92 120 122 134 162 170 198 210 212 240 254 278 332	-1630471100268
TPT(14)	2577535371030786821	0 2 18 20 48 50 90 92 186 188 198 200 210 212	-1628149479966
STPT(10)	2577535397978560931	0 2 6 8 18 20 30 32 36 38	-1601201705856
SPT(16)	2577536365993480537	0 6 22 52 72 100 150 154 192 196 246 274 294 324 340 346	-633186786250
SPT(16)	2577536394269312561	0 2 18 38 72 86 116 122 186 192 222 236 270 290 306 308	-604910954226
SPT(16)	2577537044429232451	0 16 40 48 66 118 172 180 298 306 360 412 430 438 462 478	45248965664
SPT(16)	2577537257273499881	0 12 26 42 62 90 126 138 170 182 218 246 266 282 296 308	258093233094
STPT(10)	2577537341665766507	0 2 24 26 42 44 60 62 84 86	342485499720
SPT(16)	2577537381598494617	0 2 44 120 150 170 194 240 416 462 486 506 536 612 654 656	382418227830
STPT(10)	2577537567428184857	0 2 12 14 42 44 72 74 84 86	568247918070