Prime p₀= 2322131729830769807 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 28 2 10 2 10 2 28 2 (?)
a_n: 0 2 30 32 42 44 54 56 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 28 2 10 2

STPT(10)	2322128901279876539	0 2 48 50 90 92 132 134 180 182	-2828550893268
STPT(10)	2322128954193704471	0 2 6 8 48 50 90 92 96 98	-2775637065336
SPT(16)	2322129126470136677	0 2 12 14 56 66 80 92 114 126 140 150 192 194 204 206	-2603360633130
STPT(10)	2322130049472812609	0 2 18 20 30 32 42 44 60 62	-1680357957198
SPT(16)	2322131177732339021	0 38 42 60 66 68 86 116 192 222 240 242 248 266 270 308	-552098430786
TPT(14)	2322131211253158761	0 2 30 32 66 68 78 80 96 98 108 110 150 152	-518577611046
STPT(10)	2322131792145927887	0 2 30 32 72 74 114 116 144 146	62315158080
TPT(14)	2322131932490519837	0 2 72 74 114 116 162 164 210 212 240 242 384 386	202659750030
SPT(16)	2322132128433827417	0 2 30 80 102 140 222 242 330 350 432 470 492 542 570 572	398603057610
SPT(16)	2322132331359756173	0 18 20 60 96 98 104 110 174 180 186 188 224 264 266 284	601528986366
SPT(16)	2322133197163994437	0 12 34 40 54 82 112 114 142 144 174 202 216 222 244 256	1467333224630