Prime p₀= 2836444644665484131 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 136 2 28 2 166 2 58 2 40 2 10 2 (?)
a_n: 0 2 138 140 168 170 336 338 396 398 438 440 450 452
All 14 integers p_n = p₀+a_n = p_n-1+d_n are prime and there are no other primes in the gaps.
diameter: 452
Found by: Roadranner
db: batch=82, k=14, 136 28 166 58 40 10

TPT(14)	2836443669497446751	0 2 30 32 78 80 108 110 120 122 138 140 210 212	-975168037380
SPT(16)	2836443719312103503	0 78 108 126 158 170 180 186 218 224 234 246 278 296 326 404	-925353380628
STPT(10)	2836444250742253829	0 2 18 20 30 32 42 44 60 62	-393923230302
TPT(14)	2836444345008937709	0 2 102 104 180 182 210 212 258 260 270 272 300 302	-299656546422
SPT(16)	2836444448228849119	0 22 82 100 142 168 238 264 268 294 364 390 432 450 510 532	-196436635012
SPT(16)	2836444456270349549	0 30 48 72 170 174 192 240 242 290 308 312 410 434 452 482	-188395134582
SPT(16)	2836444686734471149	0 10 12 52 58 88 108 120 172 184 204 234 240 280 282 292	42068987018
STPT(10)	2836444852486372607	0 2 30 32 42 44 54 56 84 86	207820888476
TPT(14)	2836445039102565491	0 2 30 32 150 152 186 188 198 200 318 320 408 410	394437081360
STPT(10)	2836445218183381151	0 2 6 8 48 50 90 92 96 98	573517897020
STPT(10)	2836445236791658031	0 2 126 128 168 170 210 212 336 338	592126173900