Prime p₀= 2491569235480642589 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: JayPi
db: batch=82, k=10, 2 16 2 10 2

STPT(10)	2491568706533346821	0 2 78 80 108 110 138 140 216 218	-528947295768
SPT(16)	2491568886531751223	0 8 38 74 108 110 114 120 158 164 168 170 204 240 270 278	-348948891366
SPT(16)	2491569156101517901	0 16 48 70 78 90 96 106 210 220 226 238 246 268 300 316	-79379124688
SPT(16)	2491569171075180671	0 26 30 60 62 68 90 138 200 248 270 276 278 308 312 338	-64405461918
SPT(16)	2491569210951269093	0 8 14 38 68 98 120 164 240 284 306 336 366 390 396 404	-24529373496
SPT(16)	2491569227206050421	0 48 70 78 138 178 216 268 300 352 390 430 490 498 520 568	-8274592168
STPT(10)	2491569250890114761	0 2 36 38 78 80 120 122 156 158	15409472172
STPT(10)	2491569753635080661	0 2 6 8 48 50 90 92 96 98	518154438072
STPT(10)	2491569801175201697	0 2 30 32 42 44 54 56 84 86	565694559108
STPT(10)	2491569803459973317	0 2 42 44 72 74 102 104 144 146	567979330728
SPT(16)	2491569875396429519	0 42 48 60 90 108 110 150 182 222 224 242 272 284 290 332	639915786930