Prime p₀= 2113137937331698799 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: [SG-2W]Kurzer
db: batch=80, k=10, 2 16 2 10 2

SPT(16)	2113136463030307249	0 22 72 120 124 138 168 198 244 274 304 318 322 370 420 442	-1474301391550
SPT(16)	2113137324262756807	0 12 16 52 70 142 156 184 192 220 234 306 324 360 364 376	-613068941992
TPT(14)	2113137412475188919	0 2 30 32 42 44 150 152 162 164 222 224 252 254	-524856509880
STPT(10)	2113137672236810267	0 2 42 44 72 74 102 104 144 146	-265094888532
SPT(16)	2113137822548582387	0 6 32 60 90 104 162 204 242 284 342 356 386 414 440 446	-114783116412
STPT(10)	2113137921469144481	0 2 6 8 18 20 30 32 36 38	-15862554318
SPT(16)	2113138038302276261	0 6 50 56 78 90 96 110 156 170 176 188 210 216 260 266	100970577462
SPT(16)	2113138164246212561	0 30 38 56 66 72 86 96 362 372 386 392 402 420 428 458	226914513762
SPT(16)	2113138569317043259	0 24 52 60 82 84 94 144 160 210 220 222 244 252 280 304	631985344460
SPT(16)	2113138683355961293	0 4 40 60 118 120 184 204 250 270 334 336 394 414 450 454	746024262494
STPT(10)	2113139018218406999	0 2 18 20 30 32 42 44 60 62	1080886708200