Prime p₀= 3086309105911157837 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 10 2 28 2 28 2 10 2 (?)
a_n: 0 2 12 14 42 44 72 74 84 86
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: 86
Found by: [SG-2W]Kurzer
db: batch=83, k=10, 2 10 2 28 2

SPT(16)	3086307059758947487	0 4 40 72 124 154 190 196 240 246 282 312 364 396 432 436	-2046152210350
STPT(10)	3086307066570847967	0 2 12 14 42 44 72 74 84 86	-2039340309870
SPT(16)	3086307175217346461	0 38 56 78 80 86 206 240 266 300 420 426 428 450 468 506	-1930693811376
STPT(10)	3086308258631564171	0 2 6 8 18 20 30 32 36 38	-847279593666
STPT(10)	3086308272581071007	0 2 30 32 42 44 54 56 84 86	-833330086830
STPT(10)	3086308399378667339	0 2 30 32 60 62 90 92 120 122	-706532490498
STPT(10)	3086309189769364379	0 2 42 44 60 62 78 80 120 122	83858206542
TPT(14)	3086309522134901201	0 2 126 128 168 170 240 242 270 272 276 278 306 308	416223743364
SPT(16)	3086309937106222579	0 4 18 34 78 82 88 90 112 114 120 124 168 184 198 202	831195064742
STPT(10)	3086310269946193091	0 2 6 8 48 50 90 92 96 98	1164035035254
SPT(16)	3086310306490085551	0 10 16 42 90 118 142 156 172 186 210 238 286 312 318 328	1200578927714