Prime p₀= 2499276838645147571 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 88 2 16 2 16 2 88 2 (?)
a_n: 0 2 90 92 108 110 126 128 216 218
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: 218
Found by: Penguin
db: batch=82, k=10, 2 88 2 16 2

STPT(10)	2499275729532188879	0 2 18 20 30 32 42 44 60 62	-1109112958692
TPT(14)	2499276304983766949	0 2 18 20 90 92 132 134 210 212 258 260 300 302	-533661380622
SPT(16)	2499276408641539477	0 30 46 52 70 84 114 142 144 172 202 216 234 240 256 286	-430003608094
STPT(10)	2499276540562664381	0 2 78 80 138 140 198 200 276 278	-298082483190
SPT(16)	2499276751182608563	0 4 6 40 46 70 90 96 124 130 150 174 180 214 216 220	-87462539008
SPT(16)	2499276823374786619	0 24 72 138 184 192 234 322 390 478 520 528 574 640 688 712	-15270360952
SPT(16)	2499276891221460209	0 54 60 80 90 110 150 164 168 182 222 242 252 272 278 332	52576312638
STPT(10)	2499277058971998827	0 2 30 32 42 44 54 56 84 86	220326851256
STPT(10)	2499277454709871007	0 2 12 14 42 44 72 74 84 86	616064723436
STPT(10)	2499277497895786217	0 2 30 32 42 44 54 56 84 86	659250638646
STPT(10)	2499277686206039741	0 2 30 32 60 62 90 92 120 122	847560892170