Prime p₀= 2150509573996673801 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 4 2 10 2 10 2 4 2 (?)
a_n: 0 2 6 8 18 20 30 32 36 38
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: 38
Found by: Xenon
db: batch=81, k=10, 2 4 2 10 2

SPT(16)	2150508219255671791	0 46 48 102 106 132 220 252 256 288 376 402 406 460 462 508	-1354741002010
STPT(10)	2150508457233147197	0 2 42 44 132 134 222 224 264 266	-1116763526604
STPT(10)	2150508705053529407	0 2 30 32 72 74 114 116 144 146	-868943144394
STPT(10)	2150508751690236989	0 2 18 20 30 32 42 44 60 62	-822306436812
STPT(10)	2150509130761615397	0 2 54 56 72 74 90 92 144 146	-443235058404
STPT(10)	2150509244909454599	0 2 18 20 30 32 42 44 60 62	-329087219202
STPT(10)	2150510010200914799	0 2 48 50 90 92 132 134 180 182	436204240998
SPT(16)	2150510088791918899	0 40 48 70 78 114 132 180 262 310 328 364 372 394 402 442	514795245098
STPT(10)	2150510495839348337	0 2 30 32 60 62 90 92 120 122	921842674536
SPT(16)	2150510628686607227	0 20 42 50 62 120 152 200 204 252 284 342 354 362 384 404	1054689933426
SPT(16)	2150510972166291821	0 6 8 30 50 72 102 116 132 146 176 198 218 240 242 248	1398169618020