Prime p₀= 2079345049552634777 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 82 2 46 2 46 2 82 2 (?)
a_n: 0 2 84 86 132 134 180 182 264 266
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: 266
Found by: Tomáš Brada
db: batch=80, k=10, 2 82 2 46 2

TPT(14)	2079342277963544567	0 2 54 56 72 74 84 86 120 122 162 164 204 206	-2771589090210
SPT(16)	2079342313747396993	0 28 78 96 144 166 198 204 340 346 378 400 448 466 516 544	-2735805237784
SPT(16)	2079342736805781973	0 28 30 60 78 144 154 210 268 324 334 400 418 448 450 478	-2312746852804
SPT(16)	2079343485107702917	0 12 46 60 124 190 202 204 262 264 276 342 406 420 454 466	-1564444931860
SPT(16)	2079344003057604139	0 22 184 192 220 234 244 282 322 360 370 384 412 420 582 604	-1046495030638
STPT(10)	2079344816117920787	0 2 42 44 72 74 102 104 144 146	-233434713990
STPT(10)	2079345300670365347	0 2 42 44 72 74 102 104 144 146	251117730570
SPT(16)	2079345519501843097	0 4 10 22 36 60 66 96 220 250 256 280 294 306 312 316	469949208320
SPT(16)	2079345629093855219	0 14 30 42 48 60 198 234 248 284 422 434 440 452 468 482	579541220442
STPT(10)	2079345656919869207	0 2 72 74 102 104 132 134 204 206	607367234430
SPT(16)	2079345827033367029	0 48 68 78 98 152 174 218 264 308 330 384 404 414 434 482	777480732252