Prime p₀= 2157998900049469949 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 40 2 46 2 46 2 40 2 (?)
a_n: 0 2 42 44 90 92 138 140 180 182
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 40 2 46 2

SPT(18)	2157997978858325561	0 2 48 60 72 110 128 152 182 408 438 462 480 518 530 542 588 590	-921191144388
SPT(16)	2157998116024554311	0 18 26 56 68 110 126 138 200 212 228 270 282 312 320 338	-784024915638
SPT(16)	2157998184865311563	0 54 60 78 146 168 186 188 216 218 236 258 326 344 350 404	-715184158386
STPT(10)	2157998248194471971	0 2 36 38 78 80 120 122 156 158	-651854997978
STPT(10)	2157998717225126981	0 2 6 8 18 20 30 32 36 38	-182824342968
SPT(16)	2157998838220844537	0 72 74 150 164 206 240 266 270 296 330 372 386 462 464 536	-61828625412
TPT(14)	2157999008525647589	0 2 42 44 120 122 168 170 210 212 240 242 360 362	108476177640
STPT(10)	2157999289082533241	0 2 36 38 78 80 120 122 156 158	389033063292
SPT(16)	2157999577375218053	0 50 60 66 96 126 176 180 224 228 278 308 338 344 354 404	677325748104
SPT(16)	2157999909163584791	0 56 68 86 158 170 252 258 320 326 408 420 492 510 522 578	1009114114842
SPT(16)	2157999993915490807	0 24 34 64 76 106 154 162 244 252 300 330 342 372 382 406	1093866020858