Prime p₀= 2358941034318696827 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: Xenon
db: batch=81, k=10, 2 22 2 16 2

STPT(10)	2358939686363219327	0 2 30 32 42 44 54 56 84 86	-1347955477500
SPT(16)	2358939704508050077	0 60 66 72 82 96 142 172 204 234 280 294 304 310 316 376	-1329810646750
STPT(10)	2358940026098206277	0 2 24 26 42 44 60 62 84 86	-1008220490550
STPT(12)	2358940058388925007	0 2 12 14 42 44 120 122 150 152 162 164	-975929771820
SPT(16)	2358940540029791009	0 12 48 74 78 80 90 102 140 152 162 164 168 194 230 242	-494288905818
SPT(16)	2358940776813925897	0 54 84 90 120 130 154 162 214 222 246 256 286 292 322 376	-257504770930
SPT(16)	2358941048436602389	0 42 102 162 214 232 238 240 322 324 330 348 400 460 520 562	14117905562
SPT(16)	2358941092219054297	0 22 42 96 100 120 142 166 180 204 226 246 250 304 324 346	57900357470
STPT(10)	2358941109604391927	0 2 24 26 42 44 60 62 84 86	75285695100
SPT(16)	2358941329951933381	0 30 76 88 90 100 142 160 168 186 228 238 240 252 298 328	295633236554
SPT(16)	2358941598215760749	0 8 38 98 144 164 204 242 300 338 378 398 444 504 534 542	563897063922