Prime p₀= 2370677869984406009 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

STPT(10)	2370676823490024911	0 2 36 38 78 80 120 122 156 158	-1046494381098
STPT(10)	2370677160312976367	0 2 30 32 72 74 114 116 144 146	-709671429642
SPT(16)	2370677276330931691	0 18 48 78 82 112 118 162 208 252 258 288 292 322 352 370	-593653474318
STPT(10)	2370677481276636611	0 2 30 32 78 80 126 128 156 158	-388707769398
STPT(10)	2370677564993099249	0 2 18 20 30 32 42 44 60 62	-304991306760
SPT(16)	2370677831941727069	0 2 14 32 62 80 84 102 110 128 132 150 180 198 210 212	-38042678940
STPT(10)	2370678463977123299	0 2 18 20 30 32 42 44 60 62	593992717290
STPT(10)	2370678562221021977	0 2 12 14 42 44 72 74 84 86	692236615968
SPT(16)	2370678566412874387	0 46 54 60 90 96 126 132 244 250 280 286 316 322 330 376	696428468378
SPT(16)	2370679055983034717	0 42 96 152 176 182 230 240 362 372 420 426 450 506 560 602	1185998628708
SPT(16)	2370679506743535761	0 8 42 48 56 68 96 138 140 182 210 222 230 236 270 278	1636759129752