Prime p₀= 2084412296564416961 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 4 2 10 2 10 2 4 2 (?)
a_n: 0 2 6 8 18 20 30 32 36 38
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: 38
Found by: Ben
db: batch=80, k=10, 2 4 2 10 2

TPT(14)	2084411576991134561	0 2 60 62 78 80 126 128 186 188 216 218 240 242	-719573282400
SPT(16)	2084411730981868723	0 30 66 94 100 114 144 156 208 220 250 264 270 298 334 364	-565582548238
SPT(16)	2084411941317974981	0 18 30 42 48 98 110 150 188 228 240 290 296 308 320 338	-355246441980
STPT(10)	2084411982059288417	0 2 30 32 42 44 54 56 84 86	-314505128544
SPT(16)	2084412170719305457	0 76 106 130 132 142 144 154 162 172 174 184 186 210 240 316	-125845111504
STPT(12)	2084412171989106989	0 2 30 32 72 74 78 80 120 122 150 152	-124575309972
TPT(14)	2084412340825977359	0 2 30 32 42 44 138 140 168 170 240 242 288 290	44261560398
STPT(10)	2084412458618079377	0 2 60 62 72 74 84 86 144 146	162053662416
SPT(16)	2084412481313718091	0 16 70 96 118 132 196 210 298 312 376 390 412 438 492 508	184749301130
SPT(16)	2084412710039436481	0 12 106 136 172 190 256 292 300 336 402 420 456 486 580 592	413475019520
SPT(16)	2084412755585833423	0 6 48 66 78 108 114 148 156 190 196 226 238 256 298 304	459021416462