Prime p₀= 2999082419473511351 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 34 2 28 2 10 2 46 2 10 2 16 2 (?)
a_n: 0 2 36 38 66 68 78 80 126 128 138 140 156 158
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: 158
Found by: Groo
db: batch=82, k=14, 34 28 10 46 10 16

SPT(16)	2999080478944824713	0 8 18 50 74 90 164 206 228 270 344 360 384 416 426 434	-1940528686638
SPT(16)	2999080771300789649	0 18 50 168 180 242 260 272 348 360 378 440 452 570 602 620	-1648172721702
STPT(10)	2999080814324608859	0 2 18 20 30 32 42 44 60 62	-1605148902492
SPT(16)	2999081016549181007	0 44 54 72 114 132 174 182 222 230 272 290 332 350 360 404	-1402924330344
SPT(16)	2999081858746466863	0 30 34 58 126 130 138 154 270 286 294 298 366 390 394 424	-560727044488
SPT(16)	2999082301934916497	0 110 186 222 230 254 284 306 410 432 462 486 494 530 606 716	-117538594854
SPT(16)	2999082443192317957	0 52 76 94 112 124 150 180 256 286 312 324 342 360 384 436	23718806606
SPT(16)	2999082448398638383	0 28 46 60 66 138 168 204 280 316 346 418 424 438 456 484	28925127032
SPT(16)	2999082493130593627	0 30 70 84 94 106 190 240 316 366 450 462 472 486 526 556	73657082276
SPT(16)	2999082656468986363	0 16 24 28 30 48 66 78 106 118 136 154 156 160 168 184	236995475012
SPT(16)	2999082818287496921	0 2 32 38 66 78 120 168 200 248 290 302 330 336 366 368	398813985570