Prime p₀= 1249213441728372467 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 10 2 28 2 28 2 10 2 (?)
a_n: 0 2 12 14 42 44 72 74 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: Theadalus
db: batch=77, k=10, 2 10 2 28 2

SPT(16)	1249212571566447539	0 24 60 78 80 122 128 132 200 204 210 252 254 272 308 332	-870161924928
STPT(10)	1249212583500797327	0 2 24 26 42 44 60 62 84 86	-858227575140
SPT(13)	1249212988761975967	0 6 42 72 132 162 186 210 240 300 330 366 372	-452966396500
STPT(10)	1249213256844665051	0 2 30 32 60 62 90 92 120 122	-184883707416
SPT(16)	1249213379889311257	0 36 64 66 72 136 144 150 226 232 240 304 310 312 340 376	-61839061210
SPT(16)	1249213418734125127	0 54 64 100 106 166 174 232 294 352 360 420 426 462 472 526	-22994247340
STPT(10)	1249213444287107207	0 2 30 32 42 44 54 56 84 86	2558734740
SPT(16)	1249213482247378547	0 32 56 96 110 116 144 146 210 212 240 246 260 300 324 356	40519006080
STPT(10)	1249213674776549147	0 2 30 32 42 44 54 56 84 86	233048176680
SPT(16)	1249214465883563909	0 20 60 98 108 168 170 210 272 312 314 374 384 422 462 482	1024155191442
STPT(10)	1249214530595732747	0 2 54 56 72 74 90 92 144 146	1088867360280