Prime p₀= 2999100698373568667 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 28 2 40 2 10 2 136 2 46 2 28 2 (?)
a_n: 0 2 30 32 72 74 84 86 222 224 270 272 300 302
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: 302
Found by: [SG-FC] hl
db: batch=82, k=14, 28 40 10 136 46 28

TPT(14)	2999098574955929111	0 2 108 110 120 122 156 158 198 200 240 242 276 278	-2123417639556
STPT(10)	2999098574955929231	0 2 36 38 78 80 120 122 156 158	-2123417639436
SPT(16)	2999098972102400303	0 56 80 120 126 138 234 240 314 320 416 428 434 474 498 554	-1726271168364
SPT(16)	2999099003361446957	0 2 12 14 20 72 110 122 132 144 182 234 240 242 252 254	-1695012121710
TPT(14)	2999100034299749447	0 2 12 14 42 44 90 92 114 116 144 146 420 422	-664073819220
TPT(14)	2999100391566921119	0 2 60 62 90 92 132 134 162 164 168 170 228 230	-306806647548
SPT(16)	2999100793504470521	0 66 122 132 146 152 198 240 308 350 396 402 416 426 482 548	95130901854
SPT(16)	2999101190571895483	0 6 54 96 154 156 228 240 424 436 508 510 568 610 658 664	492198326816
SPT(16)	2999101728377652239	0 2 62 114 170 174 182 200 324 342 350 354 410 462 522 524	1030004083572
SPT(16)	2999101912227686299	0 24 40 58 84 90 94 114 238 258 262 268 294 312 328 352	1213854117632
TPT(14)	2999102341821991397	0 2 42 44 54 56 150 152 252 254 282 284 324 326	1643448422730