Prime p₀= 2599825017256956059 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 16 2 10 2 10 2 16 2 (?)
a_n: 0 2 18 20 30 32 42 44 60 62
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: 62
Found by: JayPi
db: batch=82, k=10, 2 16 2 10 2

SPT(20)	2599824248051914781	0 2 6 50 78 156 192 210 216 218 240 242 248 266 302 380 408 452 456 458	-769205041278
SPT(16)	2599824314931119867	0 6 66 84 96 120 134 162 194 222 236 260 272 290 350 356	-702325836192
SPT(16)	2599824333635932727	0 30 60 86 126 134 150 234 266 350 366 374 414 440 470 500	-683621023332
SPT(16)	2599824377104836881	0 6 30 32 42 68 72 98 240 266 270 296 306 308 332 338	-640152119178
SPT(16)	2599824412647116387	0 24 50 54 62 120 134 152 174 192 206 264 272 276 302 326	-604609839672
SPT(16)	2599824883130411003	0 6 14 20 86 104 114 146 168 200 210 228 294 300 308 314	-134126545056
SPT(16)	2599825034673365267	0 30 72 90 104 114 194 222 242 270 350 360 374 392 434 464	17416409208
STPT(10)	2599826034355218839	0 2 18 20 30 32 42 44 60 62	1017098262780
SPT(16)	2599826450702157907	0 6 16 60 66 72 102 126 286 310 340 346 352 396 406 412	1433445201848
SPT(16)	2599826534507781497	0 2 80 84 90 132 182 206 210 234 284 326 332 336 414 416	1517250825438
SPT(16)	2599826858499806627	0 20 42 66 84 116 126 156 200 230 240 272 290 314 336 356	1841242850568