Prime p₀= 2561725126151044067 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: JayPi
db: batch=82, k=10, 2 28 2 10 2

STPT(10)	2561724256632568967	0 2 30 32 60 62 90 92 120 122	-869518475100
STPT(10)	2561724314672804249	0 2 42 44 90 92 138 140 180 182	-811478239818
STPT(10)	2561724456743447381	0 2 36 38 138 140 240 242 276 278	-669407596686
SPT(16)	2561724508604672051	0 12 42 50 56 62 92 110 252 270 300 306 312 320 350 362	-617546372016
SPT(16)	2561724556747585751	0 12 26 36 42 56 68 92 96 120 132 146 152 162 176 188	-569403458316
SPT(16)	2561724997675917413	0 8 18 26 36 194 230 236 288 294 330 488 498 506 516 524	-128475126654
TPT(14)	2561725714891353377	0 2 12 14 42 44 54 56 90 92 132 134 210 212	588740309310
SPT(16)	2561726111171895389	0 2 30 50 80 140 152 200 204 252 264 324 354 374 402 404	985020851322
SPT(16)	2561726150919260879	0 12 24 42 78 114 120 164 198 242 248 284 320 338 350 362	1024768216812
STPT(10)	2561727037876097051	0 2 36 38 78 80 120 122 156 158	1911725052984
STPT(10)	2561727509631341669	0 2 48 50 60 62 72 74 120 122	2383480297602