Prime p₀= 2829730152794120837 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 82 2 88 2 28 2 76 2 10 2 16 2 (?)
a_n: 0 2 84 86 174 176 204 206 282 284 294 296 312 314
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: 314
Found by: [SG-FC] hl
db: batch=82, k=14, 82 88 28 76 10 16

TPT(14)	2829729212276074541	0 2 30 32 66 68 138 140 180 182 210 212 270 272	-940518046296
SPT(16)	2829729267136390847	0 44 54 72 86 92 140 176 180 216 264 270 284 302 312 356	-885657729990
STPT(10)	2829729416249543849	0 2 18 20 30 32 42 44 60 62	-736544576988
SPT(16)	2829729499962608587	0 24 54 84 106 136 142 154 192 204 210 240 262 292 322 346	-652831512250
SPT(16)	2829729618958702153	0 18 28 46 64 96 100 108 226 234 238 270 288 306 316 334	-533835418684
SPT(16)	2829729889309385737	0 10 12 52 64 100 234 246 280 292 426 462 474 514 516 526	-263484735100
STPT(10)	2829730171910314427	0 2 42 44 72 74 102 104 144 146	19116193590
SPT(16)	2829730341538625033	0 68 78 104 134 168 210 218 270 278 320 354 384 410 420 488	188744504196
SPT(16)	2829730707714292061	0 42 50 72 128 138 240 260 330 350 452 462 518 540 548 590	554920171224
SPT(16)	2829730714336477961	0 32 62 66 80 92 120 140 168 188 216 228 242 246 276 308	561542357124
SPT(16)	2829731165077328129	0 2 24 60 90 104 122 128 204 210 228 242 272 308 330 332	1012283207292