Prime p₀= 2260899129801694997 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 22 2 16 2 16 2 22 2 (?)
a_n: 0 2 24 26 42 44 60 62 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: Orange Kid
db: batch=81, k=10, 2 22 2 16 2

SPT(16)	2260897507576949279	0 12 24 30 42 90 122 140 162 180 212 260 272 278 290 302	-1622224745718
SPT(16)	2260897907071804697	0 26 30 50 56 72 86 92 120 126 140 156 162 182 186 212	-1222729890300
STPT(10)	2260898233882477331	0 2 6 8 18 20 30 32 36 38	-895919217666
SPT(16)	2260898659453136869	0 4 40 60 82 108 112 124 138 150 154 180 202 222 258 262	-470348558128
SPT(16)	2260898959750905323	0 6 26 56 104 110 126 134 180 188 204 210 258 288 308 314	-170050789674
SPT(16)	2260899024681780589	0 10 12 40 42 60 72 88 162 178 190 208 210 238 240 250	-105119914408
SPT(16)	2260899469836649469	0 24 78 104 210 230 282 288 344 350 402 422 528 554 608 632	340034954472
STPT(10)	2260899715039685897	0 2 72 74 102 104 132 134 204 206	585237990900
STPT(10)	2260899716830974509	0 2 42 44 90 92 138 140 180 182	587029279512
STPT(10)	2260899831441581381	0 2 6 8 18 20 30 32 36 38	701639886384
SPT(20)	2260899896016352109	0 44 78 102 158 164 212 252 260 270 302 312 320 360 408 414 470 494 528 572	766214657112