Prime p₀= 2731608506441558837 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 28 2 28 2 28 2 28 2 (?)
a_n: 0 2 30 32 60 62 90 92 120 122
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: 122
Found by: Roadranner
db: batch=82, k=10, 2 28 2 28 2

TPT(14)	2731608115145356451	0 2 30 32 168 170 378 380 396 398 408 410 420 422	-391296202386
SPT(16)	2731608141836671039	0 22 24 34 42 52 78 82 90 94 120 130 138 148 150 172	-364604887798
SPT(16)	2731608201709063081	0 12 16 30 66 82 118 126 142 150 186 202 238 252 256 268	-304732495756
STPT(10)	2731608351429105059	0 2 18 20 30 32 42 44 60 62	-155012453778
SPT(16)	2731608363115155613	0 18 34 60 78 94 138 144 154 160 204 220 238 264 280 298	-143326403224
TPT(14)	2731608460385410271	0 2 30 32 66 68 120 122 240 242 288 290 318 320	-46056148566
STPT(10)	2731608603292695317	0 2 42 44 72 74 102 104 144 146	96851136480
STPT(10)	2731608707355335699	0 2 48 50 90 92 132 134 180 182	200913776862
STPT(10)	2731609034824786937	0 2 60 62 72 74 84 86 144 146	528383228100
STPT(10)	2731609131725433527	0 2 12 14 42 44 72 74 84 86	625283874690
SPT(16)	2731609272206514787	0 6 40 42 70 114 142 180 196 234 262 306 334 336 370 376	765764955950