Prime p₀= 2317793952897130619 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 16 2 10 2 10 2 16 2 (?)
a_n: 0 2 18 20 30 32 42 44 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 16 2 10 2

SPT(16)	2317791461120119247	0 42 54 72 90 162 186 266 300 380 404 476 494 512 524 566	-2491777011372
SPT(16)	2317792041396247111	0 16 22 48 66 72 78 120 148 190 196 202 220 246 252 268	-1911500883508
STPT(10)	2317792519382337131	0 2 120 122 138 140 156 158 276 278	-1433514793488
STPT(10)	2317792548243149309	0 2 48 50 90 92 132 134 180 182	-1404653981310
SPT(16)	2317792693910032433	0 78 96 110 198 240 246 276 278 308 314 356 444 458 476 554	-1258987098186
STPT(10)	2317792733614027517	0 2 12 14 42 44 72 74 84 86	-1219283103102
STPT(10)	2317794343877834321	0 2 90 92 108 110 126 128 216 218	390980703702
STPT(12)	2317794556223220299	0 2 12 14 42 44 78 80 108 110 120 122	603326089680
SPT(16)	2317794717566818739	0 30 42 44 60 68 74 78 134 138 144 152 168 170 182 212	764669688120
SPT(16)	2317795056926478187	0 42 66 70 76 90 120 130 132 142 172 186 192 196 220 262	1104029347568
SPT(16)	2317795509237832699	0 34 48 70 108 150 174 220 228 274 298 340 378 400 414 448	1556340702080