Prime p₀= 2569888023542615957 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: [SG-FC] hl
db: batch=82, k=10, 2 22 2 16 2

STPT(10)	2569886399318128139	0 2 18 20 30 32 42 44 60 62	-1624224487818
STPT(10)	2569886523282689579	0 2 42 44 90 92 138 140 180 182	-1500259926378
SPT(16)	2569887282464288849	0 14 18 30 38 90 122 132 140 150 182 234 242 254 258 272	-741078327108
SPT(16)	2569887284998568807	0 42 86 116 122 182 216 242 324 350 384 444 450 480 524 566	-738544047150
STPT(10)	2569887597758328047	0 2 12 14 72 74 132 134 144 146	-425784287910
STPT(10)	2569887974886446309	0 2 18 20 30 32 42 44 60 62	-48656169648
SPT(16)	2569888149378268289	0 42 102 162 180 224 264 270 302 308 348 392 410 470 530 572	125835652332
SPT(16)	2569888365919035587	0 32 56 62 86 96 126 156 170 200 230 240 264 270 294 326	342376419630
SPT(16)	2569888438260865949	0 12 14 42 50 110 132 134 138 140 162 222 230 258 260 272	414718249992
STPT(10)	2569888487835742889	0 2 12 14 30 32 48 50 60 62	464293126932
TPT(14)	2569888552769132027	0 2 24 26 30 32 54 56 144 146 210 212 264 266	529226516070