Prime p₀= 2577332977741670411 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 4 2 40 2 40 2 4 2 (?)
a_n: 0 2 6 8 48 50 90 92 96 98
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: 98
Found by: Penguin
db: batch=82, k=10, 2 4 2 40 2

STPT(10)	2577332082018263201	0 2 30 32 78 80 126 128 156 158	-895723407210
STPT(10)	2577332101816137899	0 2 48 50 60 62 72 74 120 122	-875925532512
SPT(16)	2577332256648715079	0 20 44 62 68 98 204 254 468 518 624 654 660 678 702 722	-721092955332
SPT(16)	2577332413614120881	0 8 32 42 50 78 92 110 168 186 200 228 236 246 270 278	-564127549530
TPT(14)	2577332574021051839	0 2 12 14 18 20 102 104 150 152 168 170 180 182	-403720618572
STPT(10)	2577332911956151961	0 2 78 80 108 110 138 140 216 218	-65785518450
TPT(14)	2577333273922466861	0 2 48 50 60 62 138 140 180 182 216 218 228 230	296180796450
SPT(16)	2577333454329474571	0 42 136 162 198 216 222 238 330 346 352 370 406 432 526 568	476587804160
STPT(10)	2577333540348085661	0 2 6 8 18 20 30 32 36 38	562606415250
SPT(16)	2577334716244764961	0 30 60 78 88 90 238 310 330 402 550 552 562 580 610 640	1738503094550
STPT(10)	2577335153381768201	0 2 36 38 78 80 120 122 156 158	2175640097790