Prime p₀= 2836444250742253829 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: Roadranner
db: batch=82, k=10, 2 16 2 10 2

SPT(16)	2836442749458972257	0 6 60 104 114 116 126 156 200 230 240 242 252 296 350 356	-1501283281572
TPT(14)	2836442936976219869	0 2 48 50 72 74 240 242 312 314 390 392 408 410	-1313766033960
STPT(10)	2836443046780252079	0 2 18 20 60 62 102 104 120 122	-1203962001750
STPT(10)	2836443394707233321	0 2 48 50 108 110 168 170 216 218	-856035020508
TPT(14)	2836443669497446751	0 2 30 32 78 80 108 110 120 122 138 140 210 212	-581244807078
SPT(16)	2836443719312103503	0 78 108 126 158 170 180 186 218 224 234 246 278 296 326 404	-531430150326
TPT(14)	2836444345008937709	0 2 102 104 180 182 210 212 258 260 270 272 300 302	94266683880
SPT(16)	2836444448228849119	0 22 82 100 142 168 238 264 268 294 364 390 432 450 510 532	197486595290
SPT(16)	2836444456270349549	0 30 48 72 170 174 192 240 242 290 308 312 410 434 452 482	205528095720
TPT(14)	2836444644665484131	0 2 138 140 168 170 336 338 396 398 438 440 450 452	393923230302
SPT(16)	2836444686734471149	0 10 12 52 58 88 108 120 172 184 204 234 240 280 282 292	435992217320