Prime p₀= 2987308022032833617 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 22 2 16 2 16 2 22 2 (?)
a_n: 0 2 24 26 42 44 60 62 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: MarkRBright
db: batch=82, k=10, 2 22 2 16 2

SPT(16)	2987307061472457991	0 12 22 42 72 88 112 126 142 156 180 196 226 246 256 268	-960560375626
SPT(16)	2987307220058754391	0 30 40 42 66 82 96 100 108 112 126 142 166 168 178 208	-801974079226
SPT(16)	2987307378341560147	0 46 76 84 112 174 180 186 250 256 262 324 352 360 390 436	-643691273470
STPT(10)	2987307633478810487	0 2 24 26 42 44 60 62 84 86	-388554023130
SPT(16)	2987307709109687641	0 16 66 126 168 172 208 210 238 240 276 280 322 382 432 448	-312923145976
SPT(16)	2987307880672312339	0 10 18 22 70 72 88 112 150 174 190 192 240 244 252 262	-141360521278
SPT(16)	2987308062345263047	0 4 10 30 66 100 136 160 210 234 270 304 340 360 366 370	40312429430
SPT(16)	2987308427922955091	0 50 96 98 102 158 168 260 348 440 450 506 510 512 558 608	405890121474
STPT(10)	2987308583734234337	0 2 30 32 42 44 54 56 84 86	561701400720
SPT(16)	2987308599743878369	0 82 154 172 178 198 222 238 264 280 304 324 330 348 420 502	577711044752
STPT(10)	2987308914010408451	0 2 36 38 78 80 120 122 156 158	891977574834