Prime p₀= 2161125384103275437 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: Landjunge
db: batch=81, k=10, 2 10 2 28 2

TPT(14)	2161124678256302879	0 2 30 32 168 170 222 224 282 284 330 332 360 362	-705846972558
STPT(10)	2161124807849216861	0 2 36 38 78 80 120 122 156 158	-576254058576
STPT(10)	2161124830239807737	0 2 30 32 42 44 54 56 84 86	-553863467700
STPT(10)	2161125195032417321	0 2 36 38 78 80 120 122 156 158	-189070858116
SPT(16)	2161125196338874369	0 10 28 48 52 190 238 258 262 282 330 468 472 492 510 520	-187764401068
STPT(10)	2161125241439924699	0 2 18 20 60 62 102 104 120 122	-142663350738
SPT(16)	2161125391925484161	0 42 48 62 116 146 228 258 260 290 372 402 456 470 476 518	7822208724
STPT(10)	2161125503250247379	0 2 18 20 30 32 42 44 60 62	119146971942
STPT(10)	2161125543800296991	0 2 30 32 78 80 126 128 156 158	159697021554
SPT(16)	2161125589295912753	0 8 26 48 96 128 140 156 230 246 258 290 338 360 378 386	205192637316
SPT(16)	2161126158612601759	0 42 88 108 144 148 160 172 210 222 234 238 274 294 340 382	774509326322