Prime p₀= 2507756505923752409 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: Penguin
db: batch=82, k=10, 2 16 2 10 2

STPT(10)	2507754032977583441	0 2 6 8 18 20 30 32 36 38	-2472946168968
TPT(16)	2507754265659205019	0 2 72 74 78 80 120 122 162 164 210 212 228 230 240 242	-2240264547390
STPT(12)	2507754512856598919	0 2 42 44 90 92 222 224 270 272 312 314	-1993067153490
SPT(16)	2507754929395088213	0 18 26 66 68 84 110 144 200 234 260 276 278 318 326 344	-1576528664196
STPT(10)	2507756115404375117	0 2 42 44 72 74 102 104 144 146	-390519377292
SPT(16)	2507756124072374167	0 10 66 82 100 102 130 150 172 192 220 222 240 256 312 322	-381851378242
SPT(16)	2507756672450534591	0 38 72 108 192 218 228 242 258 272 282 308 392 428 462 500	166526782182
SPT(16)	2507756721455665903	0 10 100 108 144 208 240 280 324 364 396 460 496 504 594 604	215531913494
STPT(10)	2507757019934658407	0 2 24 26 42 44 60 62 84 86	514010905998
STPT(10)	2507757785187433577	0 2 30 32 42 44 54 56 84 86	1279263681168
SPT(16)	2507757794452797977	0 12 104 116 132 140 182 234 272 324 366 374 390 402 494 506	1288529045568