Prime p₀= 2412408396843845999 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 16 2 10 2 10 2 16 2 (?)
a_n: 0 2 18 20 30 32 42 44 60 62
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: 62
Found by: Penguin
db: batch=82, k=10, 2 16 2 10 2

STPT(10)	2412407039579046467	0 2 24 26 42 44 60 62 84 86	-1357264799532
STPT(10)	2412407136311295377	0 2 42 44 72 74 102 104 144 146	-1260532550622
TPT(14)	2412407449412943011	0 2 66 68 78 80 96 98 276 278 306 308 318 320	-947430902988
SPT(16)	2412407458149527537	0 14 26 30 32 72 144 152 174 182 254 294 296 300 312 326	-938694318462
SPT(16)	2412407893432108499	0 32 54 72 92 98 114 132 140 158 174 180 200 218 240 272	-503411737500
SPT(16)	2412407951642047897	0 52 102 136 150 180 184 192 214 222 226 256 270 304 354 406	-445201798102
STPT(10)	2412408421845487361	0 2 6 8 18 20 30 32 36 38	25001641362
SPT(16)	2412408580144686239	0 18 32 44 48 72 114 120 152 158 200 224 228 240 254 272	183300840240
SPT(16)	2412408658466444749	0 34 60 130 144 150 178 198 280 300 328 334 348 418 444 478	261622598750
TPT(14)	2412409857407909771	0 2 18 20 96 98 126 128 150 152 156 158 240 242	1460564063772
SPT(16)	2412410033817945631	0 30 70 120 138 150 178 268 288 378 406 418 436 486 526 556	1636974099632