Prime p₀= 2199517246002768719 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: Landjunge
db: batch=81, k=10, 2 16 2 10 2

SPT(16)	2199515392205451013	0 28 46 64 94 106 154 156 178 180 228 240 270 288 306 334	-1853797317706
SPT(16)	2199515676964432811	0 18 96 116 150 162 186 206 222 242 266 278 312 332 410 428	-1569038335908
SPT(16)	2199515701948784441	0 8 50 56 68 80 102 146 222 266 288 300 312 318 360 368	-1544053984278
SPT(16)	2199515784510889597	0 30 42 84 120 172 216 246 250 280 324 376 412 454 466 496	-1461491879122
STPT(10)	2199517089115307699	0 2 12 14 90 92 168 170 180 182	-156887461020
STPT(10)	2199517139241525161	0 2 36 38 78 80 120 122 156 158	-106761243558
SPT(16)	2199517408111535639	0 12 108 152 182 218 338 360 392 414 534 570 600 644 740 752	162108766920
SPT(16)	2199517505423362451	0 78 108 116 140 182 186 248 330 392 396 438 462 470 500 578	259420593732
STPT(10)	2199517609123037417	0 2 30 32 42 44 54 56 84 86	363120268698
STPT(10)	2199518002756594547	0 2 24 26 42 44 60 62 84 86	756753825828
STPT(10)	2199518176686252647	0 2 30 32 42 44 54 56 84 86	930683483928