Prime p₀= 2370677564993099249 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: MarkRBright
db: batch=81, k=10, 2 16 2 10 2

SPT(16)	2370676310531288941	0 16 42 46 60 88 172 258 280 366 450 478 492 496 522 538	-1254461810308
SPT(16)	2370676408058094683	0 8 18 138 140 156 180 200 204 224 248 264 266 386 396 404	-1156935004566
STPT(10)	2370676823490024911	0 2 36 38 78 80 120 122 156 158	-741503074338
STPT(10)	2370677160312976367	0 2 30 32 72 74 114 116 144 146	-404680122882
SPT(16)	2370677276330931691	0 18 48 78 82 112 118 162 208 252 258 288 292 322 352 370	-288662167558
STPT(10)	2370677481276636611	0 2 30 32 78 80 126 128 156 158	-83716462638
SPT(16)	2370677831941727069	0 2 14 32 62 80 84 102 110 128 132 150 180 198 210 212	266948627820
STPT(10)	2370677869984406009	0 2 18 20 30 32 42 44 60 62	304991306760
STPT(10)	2370678463977123299	0 2 18 20 30 32 42 44 60 62	898984024050
STPT(10)	2370678562221021977	0 2 12 14 42 44 72 74 84 86	997227922728
SPT(16)	2370678566412874387	0 46 54 60 90 96 126 132 244 250 280 286 316 322 330 376	1001419775138