Prime p₀= 2317866881518316267 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 58 2 10 2 10 2 58 2 (?)
a_n: 0 2 60 62 72 74 84 86 144 146
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: 146
Found by: MarkRBright
db: batch=81, k=10, 2 58 2 10 2

SPT(16)	2317865437675492591	0 42 108 126 178 208 252 280 288 316 360 390 442 460 526 568	-1443842823676
STPT(10)	2317865705344542047	0 2 30 32 60 62 90 92 120 122	-1176173774220
SPT(16)	2317865718730109467	0 10 30 52 64 72 126 154 162 190 244 252 264 286 306 316	-1162788206800
STPT(10)	2317866339396376799	0 2 18 20 30 32 42 44 60 62	-542121939468
SPT(16)	2317866432700765147	0 66 102 154 166 204 222 232 234 244 262 300 312 364 400 466	-448817551120
STPT(10)	2317866708509885681	0 2 36 38 78 80 120 122 156 158	-173008430586
SPT(16)	2317866973771944029	0 2 12 14 18 30 50 102 110 162 182 194 198 200 210 212	92253627762
SPT(16)	2317867341909057047	0 14 72 84 96 110 116 134 162 180 186 200 212 224 282 296	460390740780
STPT(10)	2317867400388134207	0 2 30 32 42 44 54 56 84 86	518869817940
SPT(16)	2317867510953694691	0 18 96 116 138 140 168 186 272 290 318 320 342 362 440 458	629435378424
SPT(16)	2317868000077869377	0 24 32 90 150 222 230 234 260 264 272 344 404 462 470 494	1118559553110