Prime p₀= 2286644823180554657 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: JayPi
db: batch=81, k=10, 2 58 2 10 2

SPT(16)	2286644050872760561	0 12 16 22 36 72 78 112 276 310 316 352 366 372 376 388	-772307794096
SPT(16)	2286644085776413399	0 10 28 58 60 70 78 142 150 214 222 232 234 264 282 292	-737404141258
SPT(16)	2286644090766697979	0 30 32 42 50 62 120 122 168 170 228 240 248 258 260 290	-732413856678
SPT(16)	2286644196949933463	0 14 30 60 68 90 144 174 320 350 404 426 434 464 480 494	-626230621194
STPT(10)	2286644215792079711	0 2 36 38 138 140 240 242 276 278	-607388474946
SPT(16)	2286644677247267551	0 58 102 132 142 172 180 198 352 370 378 408 418 448 492 550	-145933287106
STPT(10)	2286644990929594457	0 2 30 32 42 44 54 56 84 86	167749039800
SPT(13)	2286645026020721027	0 72 90 156 210 330 336 342 462 516 582 600 672	202840166370
STPT(10)	2286645093563841779	0 2 18 20 30 32 42 44 60 62	270383287122
SPT(16)	2286645120706595911	0 36 106 150 168 216 262 268 300 306 352 400 418 462 532 568	297526041254
STPT(10)	2286645393631624799	0 2 42 44 90 92 138 140 180 182	570451070142