Prime p₀= 1725678569243506907 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 10 2 28 2 28 2 10 2 (?)
a_n: 0 2 12 14 42 44 72 74 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: Alnitak2019
db: batch=79, k=10, 2 10 2 28 2

TPT(14)	1725677169787426871	0 2 120 122 198 200 306 308 330 332 408 410 420 422	-1399456080036
STPT(10)	1725677462054676839	0 2 18 20 60 62 102 104 120 122	-1107188830068
STPT(10)	1725678013293384011	0 2 66 68 138 140 210 212 276 278	-555950122896
SPT(16)	1725678191157160081	0 22 36 58 102 118 150 186 202 238 270 286 330 352 366 388	-378086346826
SPT(16)	1725678295174348667	0 54 60 132 150 152 174 192 344 362 384 386 404 476 482 536	-274069158240
STPT(10)	1725678298701041351	0 2 6 8 18 20 30 32 36 38	-270542465556
SPT(16)	1725679357183245539	0 20 48 54 84 104 108 164 204 260 264 284 314 320 348 368	787939738632
SPT(16)	1725679561034370671	0 2 20 38 48 56 72 92 156 176 192 200 210 228 246 248	991790863764
SPT(16)	1725680299561012987	0 64 66 96 126 136 154 174 196 216 234 244 274 304 306 370	1730317506080
STPT(10)	1725680350215426557	0 2 30 32 42 44 54 56 84 86	1780971919650
STPT(10)	1725680533951654361	0 2 6 8 48 50 90 92 96 98	1964708147454