Prime p₀= 2168354583260665757 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 40 2 28 2 28 2 40 2 (?)
a_n: 0 2 42 44 72 74 102 104 144 146
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: 146
Found by: Penguin
db: batch=81, k=10, 2 40 2 28 2

SPT(16)	2168353329815387153	0 8 20 26 90 138 186 200 204 218 266 314 378 384 396 404	-1253445278604
SPT(16)	2168353467016570907	0 2 6 36 84 150 152 170 216 234 236 302 350 380 384 386	-1116244094850
STPT(10)	2168353971424133807	0 2 30 32 42 44 54 56 84 86	-611836531950
TPT(14)	2168353974418564019	0 2 168 170 180 182 192 194 348 350 372 374 432 434	-608842101738
SPT(16)	2168354112011377699	0 10 12 22 30 52 78 82 138 142 168 190 198 208 210 220	-471249288058
STPT(10)	2168354189238081191	0 2 6 8 48 50 90 92 96 98	-394022584566
SPT(16)	2168355050462276449	0 4 48 54 64 70 72 82 120 130 132 138 148 154 198 202	467201610692
SPT(16)	2168355062799857731	0 16 72 78 112 132 148 160 198 210 226 246 280 286 342 358	479539191974
SPT(16)	2168355113343061781	0 42 48 62 68 92 98 132 398 432 438 462 468 482 488 530	530082396024
SPT(16)	2168355266049325699	0 100 124 142 162 184 192 202 240 250 258 280 300 318 342 442	682788659942
SPT(16)	2168356226854084741	0 6 12 36 106 108 126 130 168 172 190 192 262 286 292 298	1643593418984