Prime p₀= 2854319329675407017 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 10 2 166 2 82 2 4 2 148 2 40 2 (?)
a_n: 0 2 12 14 180 182 264 266 270 272 420 422 462 464
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: 464
Found by: [SG-FC] hl
db: batch=82, k=14, 10 166 82 4 148 40

SPT(16)	2854317775331705659	0 18 48 82 114 130 142 144 238 240 252 268 300 334 364 382	-1554343701358
SPT(16)	2854317936329046029	0 8 30 44 72 110 168 234 278 344 402 440 468 482 504 512	-1393346360988
SPT(16)	2854318118032538057	0 14 26 146 180 222 234 266 270 302 314 356 390 510 522 536	-1211642868960
SPT(16)	2854318244676897721	0 42 46 52 66 88 108 118 120 130 150 172 186 192 196 238	-1084998509296
STPT(10)	2854318443620083337	0 2 60 62 72 74 84 86 144 146	-886055323680
SPT(16)	2854318853147749303	0 10 16 66 114 136 186 210 250 274 324 346 394 444 450 460	-476527657714
STPT(10)	2854319771330791991	0 2 126 128 168 170 210 212 336 338	441655384974
SPT(16)	2854319983931618617	0 16 46 72 106 132 186 246 310 370 424 450 484 510 540 556	654256211600
STPT(10)	2854320374154509147	0 2 30 32 42 44 54 56 84 86	1044479102130
SPT(16)	2854320860259807089	0 2 72 74 84 120 144 152 162 170 194 230 240 242 312 314	1530584400072
STPT(10)	2854320863710877381	0 2 6 8 18 20 30 32 36 38	1534035470364