Prime p₀= 2127775462247582669 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: retroactivemind
db: batch=80, k=10, 2 16 2 10 2

STPT(10)	2127773563217644229	0 2 18 20 30 32 42 44 60 62	-1899029938440
SPT(16)	2127773691994800761	0 66 72 170 186 212 246 260 282 296 330 356 372 470 476 542	-1770252781908
STPT(10)	2127773934055978067	0 2 30 32 72 74 114 116 144 146	-1528191604602
SPT(16)	2127774798135103501	0 18 48 66 72 88 90 112 156 178 180 196 202 220 250 268	-664112479168
SPT(16)	2127774900205708531	0 40 42 82 112 150 196 250 252 306 352 390 420 460 462 502	-562041874138
SPT(16)	2127775442266082953	0 10 16 18 58 70 88 108 148 168 186 198 238 240 246 256	-19981499716
TPT(14)	2127775509888368297	0 2 42 44 102 104 222 224 234 236 240 242 270 272	47640785628
STPT(10)	2127776041200872771	0 2 36 38 78 80 120 122 156 158	578953290102
SPT(16)	2127776092148272109	0 8 18 42 68 74 122 150 152 180 228 234 260 284 294 302	629900689440
SPT(16)	2127776691641868661	0 102 106 142 172 192 270 286 312 328 406 426 456 492 496 598	1229394285992
STPT(10)	2127776773222252037	0 2 12 14 42 44 72 74 84 86	1310974669368