Prime p₀= 2599689969603355799 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: JayPi
db: batch=82, k=10, 2 16 2 10 2

STPT(10)	2599689047773596011	0 2 36 38 78 80 120 122 156 158	-921829759788
TPT(14)	2599689157932540437	0 2 150 152 162 164 210 212 234 236 252 254 264 266	-811670815362
STPT(10)	2599689204025656929	0 2 18 20 30 32 42 44 60 62	-765577698870
STPT(10)	2599689222184548761	0 2 36 38 78 80 120 122 156 158	-747418807038
SPT(16)	2599689247119139723	0 4 6 100 106 114 174 196 234 256 316 324 330 424 426 430	-722484216076
SPT(16)	2599689775219327907	0 26 32 86 90 102 110 210 242 342 350 362 366 420 426 452	-194384027892
STPT(10)	2599691010374111387	0 2 30 32 42 44 54 56 84 86	1040770755588
SPT(16)	2599691287368391219	0 12 42 48 112 150 198 220 282 304 352 390 454 460 490 502	1317765035420
SPT(16)	2599691339909422267	0 10 70 112 136 174 204 276 400 472 502 540 564 606 666 676	1370306066468
STPT(10)	2599691503570189937	0 2 30 32 42 44 54 56 84 86	1533966834138
SPT(16)	2599691517735882821	0 32 38 98 102 110 146 158 180 192 228 236 240 300 306 338	1548132527022