Prime p₀= 1597462778418907451 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 4 2 10 2 10 2 4 2 (?)
a_n: 0 2 6 8 18 20 30 32 36 38
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: 38
Found by: [SG-2W]Kurzer
db: batch=78, k=10, 2 4 2 10 2

STPT(10)	1597460055634237409	0 2 18 20 30 32 42 44 60 62	-2722784670042
STPT(12)	1597461418020820739	0 2 30 32 72 74 90 92 132 134 162 164	-1360398086712
SPT(16)	1597461661841548081	0 22 28 36 78 88 112 130 168 186 210 220 262 270 276 298	-1116577359370
SPT(16)	1597462003705403281	0 6 10 52 70 90 102 130 342 370 382 402 420 462 466 472	-774713504170
SPT(16)	1597462561312689037	0 10 36 72 84 102 106 114 142 150 154 172 184 220 246 256	-217106218414
STPT(10)	1597462715686129889	0 2 42 44 60 62 78 80 120 122	-62732777562
SPT(16)	1597463033263233911	0 36 42 90 98 180 192 290 318 416 428 510 518 566 572 608	254844326460
STPT(12)	1597463347676087777	0 2 30 32 54 56 90 92 114 116 144 146	569257180326
STPT(12)	1597463389621104869	0 2 12 14 42 44 90 92 120 122 132 134	611202197418
STPT(10)	1597463651451616769	0 2 18 20 30 32 42 44 60 62	873032709318
SPT(16)	1597463776318752241	0 12 48 76 82 118 172 208 210 246 300 336 342 370 406 418	997899844790