Prime p₀= 2982580519019713457 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 22 2 16 2 16 2 22 2 (?)
a_n: 0 2 24 26 42 44 60 62 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: Orange Kid
db: batch=82, k=10, 2 22 2 16 2

SPT(16)	2982578616220489471	0 6 76 78 126 168 202 232 306 336 370 412 460 462 532 538	-1902799223986
SPT(16)	2982578800605181031	0 48 50 60 62 72 86 90 128 132 146 156 158 168 170 218	-1718414532426
STPT(10)	2982578934836374607	0 2 24 26 42 44 60 62 84 86	-1584183338850
STPT(10)	2982579692253102437	0 2 60 62 72 74 84 86 144 146	-826766611020
STPT(12)	2982580055882019869	0 2 12 14 42 44 48 50 78 80 90 92	-463137693588
SPT(16)	2982580098052633657	0 34 36 66 90 102 112 124 132 144 154 166 190 220 222 256	-420967079800
STPT(10)	2982580788277381139	0 2 30 32 60 62 90 92 120 122	269257667682
TPT(14)	2982580878559130129	0 2 12 14 78 80 108 110 138 140 150 152 210 212	359539416672
SPT(16)	2982580911302885689	0 58 70 82 174 208 234 250 252 268 294 328 420 432 444 502	392283172232
STPT(10)	2982581873985448907	0 2 12 14 42 44 72 74 84 86	1354965735450
SPT(16)	2982581958686502749	0 80 90 92 104 110 120 150 194 224 234 240 252 254 264 344	1439666789292