Prime p₀= 1084166913134127671 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 28 2 28 2 28 2 28 2 (?)
a_n: 0 2 30 32 60 62 90 92 120 122
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: 122
Found by: Theadalus
db: batch=76, k=10, 2 28 2 28 2

SPT(16)	1084165939557205927	0 22 34 120 186 192 262 286 330 354 424 430 496 582 594 616	-973576921744
TPT(14)	1084166117827613699	0 2 30 32 72 74 102 104 222 224 258 260 378 380	-795306513972
SPT(16)	1084166174087290597	0 10 30 114 132 210 226 244 252 270 286 364 382 466 486 496	-739046837074
SPT(16)	1084166459188029031	0 58 66 90 196 216 222 276 292 346 352 372 478 502 510 568	-453946098640
TPT(14)	1084166610595892069	0 2 72 74 108 110 162 164 180 182 198 200 240 242	-302538235602
STPT(10)	1084166827337172749	0 2 42 44 60 62 78 80 120 122	-85796954922
SPT(16)	1084167177017152777	0 42 76 82 90 94 154 156 220 222 282 286 294 300 334 376	263883025106
SPT(16)	1084167469721818357	0 12 46 94 144 166 222 256 270 304 360 382 432 480 514 526	556587690686
STPT(10)	1084168275156628967	0 2 84 86 132 134 180 182 264 266	1362022501296
SPT(16)	1084168552366440031	0 18 100 126 168 190 232 238 390 396 438 460 502 528 610 628	1639232312360
SPT(16)	1084168653462673001	0 38 42 68 86 116 150 152 156 158 192 222 240 266 270 308	1740328545330