Prime p₀= 2168129841240828767 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: Time_Traveler
db: batch=81, k=10, 2 28 2 10 2

SPT(16)	2168128969555005203	0 60 96 110 126 146 174 200 204 230 258 278 294 308 344 404	-871685823564
SPT(16)	2168129125610651167	0 12 24 42 52 82 84 90 136 142 144 174 184 202 214 226	-715630177600
SPT(16)	2168129179671682057	0 22 34 42 64 70 172 186 190 204 306 312 334 342 354 376	-661569146710
SPT(16)	2168129403804571589	0 2 12 50 54 92 114 120 152 158 180 218 222 260 270 272	-437436257178
TPT(14)	2168129487154138997	0 2 12 14 30 32 54 56 150 152 210 212 324 326	-354086689770
STPT(10)	2168129652599128847	0 2 30 32 72 74 114 116 144 146	-188641699920
STPT(10)	2168129954943668921	0 2 6 8 18 20 30 32 36 38	113702840154
SPT(16)	2168130062956972759	0 58 64 94 100 108 120 142 150 172 184 192 198 228 234 292	221716143992
SPT(16)	2168130094481106113	0 24 30 98 108 120 128 144 260 276 284 296 306 374 380 404	253240277346
STPT(10)	2168130270474849977	0 2 30 32 102 104 174 176 204 206	429234021210
SPT(16)	2168130300214382717	0 12 26 50 54 66 126 162 254 290 350 362 366 390 404 416	458973553950