Prime p₀= 2147465541536534267 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 40 2 28 2 28 2 40 2 (?)
a_n: 0 2 42 44 72 74 102 104 144 146
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: 146
Found by: Landjunge
db: batch=80, k=10, 2 40 2 28 2

SPT(16)	2147463979461925049	0 30 74 84 90 98 120 168 260 308 330 338 344 354 398 428	-1562074609218
STPT(10)	2147464158911162711	0 2 6 8 48 50 90 92 96 98	-1382625371556
TPT(14)	2147464333490988947	0 2 24 26 114 116 162 164 240 242 264 266 282 284	-1208045545320
SPT(16)	2147464821582678043	0 28 34 36 64 70 76 88 276 288 294 300 328 330 336 364	-719953856224
STPT(10)	2147465148082286717	0 2 24 26 42 44 60 62 84 86	-393454247550
SPT(16)	2147465262290071499	0 72 128 152 228 240 242 282 308 348 350 362 438 462 518 590	-279246462768
SPT(16)	2147465571526062167	0 6 86 90 182 246 284 300 326 342 380 444 536 540 620 626	29989527900
SPT(16)	2147465654866195849	0 12 28 54 72 94 100 124 138 162 168 190 208 234 250 262	113329661582
TPT(14)	2147465659854822551	0 2 60 62 138 140 180 182 366 368 396 398 486 488	118318288284
STPT(10)	2147465770555012007	0 2 42 44 72 74 102 104 144 146	229018477740
SPT(16)	2147465859672275321	0 20 26 48 72 156 158 168 230 240 242 326 350 372 378 398	318135741054