Prime p₀= 2109768333436879457 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: ChUcK
db: batch=80, k=10, 2 22 2 16 2

SPT(16)	2109766443334651499	0 24 54 80 138 164 168 170 192 194 198 224 282 308 338 362	-1890102227958
TPT(14)	2109766821134135027	0 2 42 44 54 56 144 146 210 212 282 284 324 326	-1512302744430
SPT(16)	2109767166945044521	0 28 46 48 52 88 118 126 172 180 210 246 250 252 270 298	-1166491834936
SPT(16)	2109767169310870219	0 30 34 52 112 142 184 210 232 258 300 330 390 408 412 442	-1164126009238
SPT(16)	2109767770572368029	0 18 60 120 142 154 190 222 400 432 468 480 502 562 604 622	-562864511428
SPT(16)	2109767996186683961	0 6 50 62 78 86 102 120 128 146 162 170 186 198 242 248	-337250195496
SPT(16)	2109768390495000187	0 36 52 82 94 96 102 144 172 214 220 222 234 264 280 316	57058120730
STPT(10)	2109768747864385607	0 2 24 26 42 44 60 62 84 86	414427506150
SPT(16)	2109768859169988019	0 12 22 40 48 58 78 82 108 112 132 142 150 168 178 190	525733108562
SPT(16)	2109768973884666343	0 28 64 88 90 138 144 190 228 274 280 328 330 354 390 418	640447786886
SPT(18)	2109769787298334451	0 20 42 66 72 96 98 108 122 156 170 180 182 206 212 236 258 278	1453861454994