Prime p₀= 2507266137662158097 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: [SG-FC] hl
db: batch=82, k=10, 2 28 2 10 2

SPT(16)	2507264467889393687	0 12 80 164 210 216 234 242 264 272 290 296 342 426 494 506	-1669772764410
STPT(10)	2507264612499877157	0 2 54 56 72 74 90 92 144 146	-1525162280940
TPT(14)	2507264963596028651	0 2 36 38 78 80 96 98 108 110 138 140 156 158	-1174066129446
SPT(16)	2507265159706451737	0 66 82 84 90 94 106 136 150 180 192 196 202 204 220 286	-977955706360
STPT(10)	2507265446626238237	0 2 30 32 60 62 90 92 120 122	-691035919860
STPT(10)	2507266113560659457	0 2 30 32 42 44 54 56 84 86	-24101498640
STPT(10)	2507266184856652991	0 2 36 38 78 80 120 122 156 158	47194494894
STPT(10)	2507266186128314717	0 2 30 32 42 44 54 56 84 86	48466156620
STPT(10)	2507267094968113727	0 2 12 14 42 44 72 74 84 86	957305955630
SPT(16)	2507267190707429879	0 18 92 102 114 128 150 158 204 212 234 248 260 270 344 362	1053045271782
TPT(14)	2507267301810599681	0 2 90 92 150 152 216 218 246 248 276 278 306 308	1164148441584