Prime p₀= 2322549099565044809 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: Landjunge
db: batch=81, k=10, 2 16 2 10 2

TPT(14)	2322546686018219147	0 2 12 14 114 116 180 182 312 314 324 326 342 344	-2413546825662
SPT(16)	2322547187518876151	0 8 66 72 126 140 150 158 210 218 228 242 296 302 360 368	-1912046168658
SPT(16)	2322547445256679673	0 8 54 140 158 174 180 186 218 224 230 246 264 350 396 404	-1654308365136
SPT(16)	2322547947767353703	0 20 24 38 60 74 80 116 168 204 210 224 246 260 264 284	-1151797691106
TPT(14)	2322548176578435131	0 2 18 20 30 32 60 62 96 98 138 140 240 242	-922986609678
STPT(10)	2322548912792394827	0 2 30 32 72 74 114 116 144 146	-186772649982
SPT(16)	2322549688917494341	0 6 12 28 48 88 112 132 166 186 210 250 270 286 292 298	589352449532
SPT(13)	2322550117456794991	0 6 12 30 90 192 216 240 342 402 420 426 432	1017891750182
STPT(10)	2322550167032622827	0 2 24 26 42 44 60 62 84 86	1067467578018
SPT(16)	2322550337876701631	0 62 80 128 150 156 182 222 266 306 332 338 360 408 426 488	1238311656822
SPT(16)	2322550519917688997	0 24 54 114 122 140 210 212 222 224 294 312 320 380 410 434	1420352644188