Prime p₀= 2364039867955107647 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 28 2 10 2 10 2 28 2 (?)
a_n: 0 2 30 32 42 44 54 56 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: Xenon
db: batch=81, k=10, 2 28 2 10 2

SPT(16)	2364038080332164233	0 4 60 78 90 100 114 130 144 160 174 184 196 214 270 274	-1787622943414
STPT(10)	2364038616233081141	0 2 6 8 48 50 90 92 96 98	-1251722026506
SPT(16)	2364039215689296137	0 14 72 80 110 114 116 122 144 150 152 156 186 194 252 266	-652265811510
SPT(16)	2364039330120934523	0 30 38 74 98 158 186 198 236 248 276 336 360 396 404 434	-537834173124
SPT(16)	2364039436092645559	0 10 34 78 184 208 232 300 352 420 444 468 574 618 642 652	-431862462088
SPT(16)	2364039601361850449	0 44 60 102 104 114 140 162 182 204 230 240 242 284 300 344	-266593257198
SPT(16)	2364040195596216073	0 24 30 48 66 70 124 150 184 210 264 268 286 304 310 334	327641108426
STPT(10)	2364040360589367371	0 2 6 8 18 20 30 32 36 38	492634259724
STPT(10)	2364040440457777481	0 2 156 158 168 170 180 182 336 338	572502669834
STPT(10)	2364040831592215331	0 2 6 8 48 50 90 92 96 98	963637107684
SPT(16)	2364040992784335521	0 18 20 26 38 68 98 108 140 150 180 210 222 228 230 248	1124829227874