Prime p₀= 2323782377997730619 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 10 2 16 2 16 2 10 2 (?)
a_n: 0 2 12 14 30 32 48 50 60 62
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: 62
Found by: MarkRBright
db: batch=81, k=10, 2 10 2 16 2

STPT(10)	2323781131586251619	0 2 18 20 60 62 102 104 120 122	-1246411479000
SPT(16)	2323781601519262387	0 42 52 94 126 150 156 184 192 220 226 250 282 324 334 376	-776478468232
SPT(16)	2323781609322283681	0 36 90 106 132 142 168 172 186 190 216 226 252 268 322 358	-768675446938
STPT(10)	2323781670208193981	0 2 30 32 60 62 90 92 120 122	-707789536638
SPT(16)	2323781801740101601	0 16 22 42 90 126 160 216 226 282 316 352 400 420 426 442	-576257629018
SPT(16)	2323782326666895967	0 6 12 34 52 60 64 124 132 192 196 204 222 244 250 256	-51330834652
STPT(10)	2323782867571444421	0 2 6 8 18 20 30 32 36 38	489573713802
SPT(18)	2323782985106790569	0 18 24 38 50 68 90 92 108 134 150 152 174 192 204 218 224 242	607109059950
SPT(16)	2323783074130889243	0 78 90 116 144 164 168 188 246 266 270 290 318 344 356 434	696133158624
STPT(10)	2323783101420176897	0 2 54 56 72 74 90 92 144 146	723422446278
STPT(10)	2323783235737445219	0 2 12 14 90 92 168 170 180 182	857739714600