Prime p₀= 2678311847502710327 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 28 2 10 2 10 2 28 2 (?)
a_n: 0 2 30 32 42 44 54 56 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=82, k=10, 2 28 2 10 2

STPT(10)	2678309511094741367	0 2 30 32 42 44 54 56 84 86	-2336407968960
STPT(10)	2678309742514846511	0 2 36 38 78 80 120 122 156 158	-2104987863816
STPT(10)	2678309877181629671	0 2 36 38 78 80 120 122 156 158	-1970321080656
SPT(16)	2678310491503108303	0 24 28 30 88 114 118 150 238 270 274 300 358 360 364 388	-1355999602024
SPT(16)	2678310985247867219	0 42 48 104 120 158 162 180 182 200 204 242 258 314 320 362	-862254843108
SPT(16)	2678311156079961799	0 18 22 28 42 90 118 150 172 204 232 280 294 300 304 322	-691422748528
STPT(10)	2678311934455743401	0 2 6 8 48 50 90 92 96 98	86953033074
SPT(16)	2678312071164680351	0 18 20 32 38 42 66 90 98 122 146 150 156 168 170 188	223661970024
STPT(10)	2678312101327451957	0 2 30 32 42 44 54 56 84 86	253824741630
STPT(10)	2678312147797060457	0 2 12 14 72 74 132 134 144 146	300294350130
SPT(16)	2678312309323773277	0 4 42 70 96 100 106 114 262 270 276 280 306 334 372 376	461821062950