Prime p₀= 2458770056124350999 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 16 2 10 2 10 2 16 2 (?)
a_n: 0 2 18 20 30 32 42 44 60 62
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: 62
Found by: JayPi
db: batch=82, k=10, 2 16 2 10 2

SPT(16)	2458768104850241153	0 8 60 84 98 138 144 170 228 254 260 300 314 338 390 398	-1951274109846
STPT(10)	2458768341921197387	0 2 42 44 72 74 102 104 144 146	-1714203153612
SPT(16)	2458768370446384811	0 42 62 80 86 92 96 126 176 206 210 216 222 240 260 302	-1685677966188
SPT(16)	2458768669076750801	0 2 18 38 42 56 108 128 150 170 222 236 240 260 276 278	-1387047600198
STPT(10)	2458769525142301697	0 2 30 32 42 44 54 56 84 86	-530982049302
SPT(16)	2458769816778987703	0 6 10 28 76 78 138 228 448 538 598 600 648 666 670 676	-239345363296
STPT(10)	2458770071761306229	0 2 12 14 90 92 168 170 180 182	15636955230
SPT(16)	2458770112094326123	0 10 16 70 210 234 240 246 268 274 280 304 444 498 504 514	55969975124
SPT(16)	2458770797541369907	0 10 16 150 156 180 186 232 270 316 322 346 352 486 492 502	741417018908
STPT(10)	2458771435106095997	0 2 30 32 42 44 54 56 84 86	1378981744998
SPT(16)	2458771593264275771	0 6 26 56 128 140 152 158 210 216 228 240 312 342 362 368	1537139924772