Prime p₀= 2725803120047788577 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: JayPi
db: batch=82, k=10, 2 22 2 16 2

SPT(16)	2725802206918406207	0 26 44 60 72 126 152 176 180 204 230 284 296 312 330 356	-913129382370
STPT(10)	2725802387648862419	0 2 18 20 30 32 42 44 60 62	-732398926158
STPT(10)	2725802640639627551	0 2 30 32 60 62 90 92 120 122	-479408161026
SPT(16)	2725802706073215563	0 18 44 78 98 104 146 156 158 168 210 216 236 270 296 314	-413974573014
STPT(10)	2725802944332482681	0 2 6 8 18 20 30 32 36 38	-175715305896
SPT(16)	2725803076953051883	0 30 34 90 124 166 196 214 366 384 414 456 490 546 550 580	-43094736694
STPT(10)	2725803204227646419	0 2 30 32 60 62 90 92 120 122	84179857842
STPT(10)	2725803546967473809	0 2 48 50 90 92 132 134 180 182	426919685232
SPT(16)	2725803688831953973	0 66 78 84 130 136 154 174 190 210 228 234 280 286 298 364	568784165396
SPT(16)	2725803822941167183	0 4 28 48 70 88 124 150 154 180 216 234 256 276 300 304	702893378606
SPT(16)	2725804029924090911	0 8 12 26 38 120 132 188 210 266 278 360 372 386 390 398	909876302334