Prime p₀= 2836909312083329627 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 58 2 40 2 70 2 46 2 40 2 16 2 (?)
a_n: 0 2 60 62 102 104 174 176 222 224 264 266 282 284
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: 284
Found by: [SG-FC] hl
db: batch=82, k=14, 58 40 70 46 40 16

SPT(16)	2836907203841213917	0 30 36 60 82 100 102 130 222 250 252 270 292 316 322 352	-2108242115710
SPT(16)	2836907305154908493	0 6 74 170 186 216 258 294 410 446 488 518 534 630 698 704	-2006928421134
STPT(10)	2836907316941960201	0 2 36 38 78 80 120 122 156 158	-1995141369426
TPT(14)	2836908343555858721	0 2 186 188 438 440 450 452 468 470 510 512 648 650	-968527470906
SPT(16)	2836908365134927043	0 8 30 36 48 50 60 120 224 284 294 296 308 314 336 344	-946948402584
SPT(16)	2836908581979416437	0 52 54 64 76 82 100 142 174 216 234 240 252 262 264 316	-730103913190
SPT(16)	2836909315063502897	0 32 56 74 84 86 114 116 210 212 240 242 252 270 294 326	2980173270
SPT(16)	2836909347648475487	0 12 84 182 216 222 224 240 356 372 374 380 414 512 584 596	35565145860
SPT(16)	2836909378775432921	0 32 72 98 132 168 210 230 270 290 332 368 402 428 468 500	66692103294
STPT(10)	2836909480596732551	0 2 6 8 48 50 90 92 96 98	168513402924
STPT(10)	2836909628282075417	0 2 30 32 42 44 54 56 84 86	316198745790