Prime p₀= 2566803332954412437 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 10 2 28 2 28 2 10 2 (?)
a_n: 0 2 12 14 42 44 72 74 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 10 2 28 2

SPT(16)	2566802802114670813	0 16 30 46 58 88 100 126 130 156 168 198 210 226 240 256	-530839741624
TPT(14)	2566802835425334017	0 2 30 32 42 44 72 74 114 116 150 152 222 224	-497529078420
STPT(10)	2566803122660053799	0 2 18 20 30 32 42 44 60 62	-210294358638
SPT(16)	2566803192462226447	0 4 22 46 72 136 142 144 202 204 210 274 300 324 342 346	-140492185990
STPT(10)	2566803198867058757	0 2 60 62 72 74 84 86 144 146	-134087353680
SPT(16)	2566803229201294469	0 18 44 60 110 152 158 170 222 234 240 282 332 348 374 392	-103753117968
SPT(16)	2566803430068953891	0 18 30 48 56 62 78 92 96 110 126 132 140 158 170 188	97114541454
STPT(10)	2566803751643060099	0 2 42 44 60 62 78 80 120 122	418688647662
TPT(14)	2566803865662410657	0 2 24 26 54 56 84 86 90 92 174 176 204 206	532707998220
SPT(16)	2566803943216881337	0 4 12 16 40 72 106 142 144 180 214 246 270 274 282 286	610262468900
STPT(10)	2566803979331795381	0 2 6 8 48 50 90 92 96 98	646377382944