Prime p₀= 1577796525296722457 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: crashtech
db: batch=78, k=10, 2 22 2 16 2

SPT(16)	1577795326362512891	0 18 56 62 128 132 156 170 258 272 296 300 366 372 410 428	-1198934209566
SPT(16)	1577795326563244583	0 14 18 138 158 174 224 236 288 300 350 366 386 506 510 524	-1198733477874
SPT(16)	1577795570213612111	0 20 38 62 110 146 150 162 206 218 222 258 306 330 348 368	-955083110346
SPT(16)	1577795717037459607	0 4 22 24 52 102 130 150 256 276 304 354 382 384 402 406	-808259262850
STPT(12)	1577795787211214141	0 2 18 20 60 62 96 98 138 140 156 158	-738085508316
SPT(16)	1577795872661925577	0 6 12 22 30 34 70 100 216 246 282 286 294 304 310 316	-652634796880
SPT(16)	1577797241359266463	0 48 60 76 78 96 126 138 406 418 448 466 468 484 496 544	716062544006
SPT(16)	1577797314430169201	0 20 56 62 108 120 132 140 168 176 188 200 246 252 288 308	789133446744
SPT(16)	1577797554831133271	0 42 56 62 132 140 146 158 180 192 198 206 276 282 296 338	1029534410814
SPT(16)	1577797668635228993	0 36 54 56 98 140 144 170 234 260 264 306 348 350 368 404	1143338506536
SPT(16)	1577798381687416379	0 14 24 30 38 74 98 102 140 144 168 204 212 218 228 242	1856390693922