Prime p₀= 2316560119347367709 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 10 2 16 2 16 2 10 2 (?)
a_n: 0 2 12 14 30 32 48 50 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 10 2 16 2

SPT(16)	2316558856484393263	0 136 144 196 246 250 270 288 406 424 444 448 498 550 558 694	-1262862974446
SPT(16)	2316558939271792757	0 6 80 84 86 110 126 170 216 260 276 300 302 306 380 386	-1180075574952
STPT(10)	2316559649728442927	0 2 30 32 42 44 54 56 84 86	-469618924782
SPT(16)	2316559749321744077	0 50 56 84 110 116 126 134 186 194 204 210 236 264 270 320	-370025623632
STPT(10)	2316559797723055349	0 2 12 14 90 92 168 170 180 182	-321624312360
SPT(16)	2316560099620132733	0 26 44 56 98 146 164 170 174 180 198 246 288 300 318 344	-19727234976
SPT(16)	2316560119381966177	0 30 42 82 132 154 172 184 252 264 282 304 354 394 406 436	34598468
TPT(14)	2316560364717963491	0 2 78 80 96 98 156 158 180 182 210 212 348 350	245370595782
SPT(16)	2316560375733662291	0 72 78 80 90 198 210 282 308 380 392 500 510 512 518 590	256386294582
SPT(16)	2316560918257089851	0 6 48 50 86 138 168 176 180 188 218 270 306 308 350 356	798909722142
SPT(16)	2316561244932103613	0 6 14 30 36 56 66 90 164 188 198 218 224 240 248 254	1125584735904