Prime p₀= 3715457791957278317 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: SEARCHER
db: batch=84, k=10, 2 28 2 10 2

SPT(16)	3715456926995934739	0 12 82 90 100 132 138 142 150 154 160 192 202 210 280 292	-864961343578
SPT(16)	3715457104881820327	0 12 22 40 94 120 144 154 162 172 196 222 276 294 304 316	-687075457990
STPT(10)	3715457605685904341	0 2 6 8 48 50 90 92 96 98	-186271373976
STPT(10)	3715457622046758491	0 2 120 122 138 140 156 158 276 278	-169910519826
STPT(10)	3715457669162013947	0 2 30 32 42 44 54 56 84 86	-122795264370
SPT(16)	3715457772705801887	0 36 42 56 62 84 116 146 270 300 332 354 360 374 380 416	-19251476430
SPT(16)	3715457858027289181	0 40 48 52 70 132 162 190 210 238 268 330 348 352 360 400	66070010864
SPT(18)	3715457956133885029	0 22 40 48 52 84 154 172 178 204 210 228 298 330 334 342 360 382	164176606712
SPT(16)	3715458216021936479	0 8 42 78 98 134 138 140 252 254 258 294 314 350 384 392	424064658162
STPT(10)	3715458695727925919	0 2 12 14 90 92 168 170 180 182	903770647602
SPT(16)	3715458747515659457	0 32 42 102 110 140 162 176 186 200 222 252 260 320 330 362	955558381140