Prime p₀= 2200851141559019627 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 10 2 28 2 28 2 10 2 (?)
a_n: 0 2 12 14 42 44 72 74 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 10 2 28 2

STPT(10)	2200849829474731991	0 2 6 8 48 50 90 92 96 98	-1312084287636
SPT(16)	2200849926058893983	0 18 38 60 66 84 90 104 150 164 170 188 194 216 236 254	-1215500125644
TPT(14)	2200850202268123121	0 2 6 8 126 128 216 218 240 242 258 260 336 338	-939290896506
SPT(16)	2200850395972899679	0 4 52 72 78 84 138 142 150 154 208 214 220 240 288 292	-745586119948
SPT(16)	2200850604036116629	0 10 18 24 60 88 90 114 148 172 174 202 238 244 252 262	-537522902998
STPT(10)	2200850722569172097	0 2 30 32 72 74 114 116 144 146	-418989847530
SPT(16)	2200851363938801597	0 2 6 44 66 72 84 92 114 122 134 140 162 200 204 206	222379781970
TPT(14)	2200851443185165829	0 2 42 44 60 62 78 80 102 104 300 302 342 344	301626146202
STPT(10)	2200851551819370377	0 2 30 32 72 74 114 116 144 146	410260350750
SPT(16)	2200851938128957657	0 12 36 42 126 256 304 334 342 372 420 550 634 640 664 676	796569938030
STPT(10)	2200852143781459697	0 2 12 14 42 44 72 74 84 86	1002222440070