Prime p₀= 2726490313112450639 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: Cruncher Pete
db: batch=82, k=10, 2 16 2 10 2

STPT(10)	2726489184007861157	0 2 30 32 72 74 114 116 144 146	-1129104589482
STPT(12)	2726489517922212629	0 2 12 14 42 44 168 170 198 200 210 212	-795190238010
STPT(10)	2726489615150358401	0 2 36 38 78 80 120 122 156 158	-697962092238
SPT(16)	2726489858554005811	0 78 100 130 156 168 180 198 280 298 310 322 348 378 400 478	-454558444828
SPT(16)	2726489960401585619	0 24 38 42 54 68 104 150 152 198 234 248 260 264 278 302	-352710865020
STPT(12)	2726490223631344067	0 2 30 32 72 74 132 134 174 176 204 206	-89481106572
SPT(16)	2726490940650882271	0 42 76 96 150 228 270 298 300 328 370 448 502 522 556 598	627538431632
STPT(10)	2726491715214745547	0 2 24 26 42 44 60 62 84 86	1402102294908
STPT(10)	2726492144138477129	0 2 48 50 60 62 72 74 120 122	1831026026490
STPT(10)	2726492214886673081	0 2 36 38 78 80 120 122 156 158	1901774222442
STPT(10)	2726492237938948361	0 2 36 38 78 80 120 122 156 158	1924826497722