Prime p₀= 2830417421835744281 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 28 2 124 2 100 2 10 2 154 2 40 2 (?)
a_n: 0 2 30 32 156 158 258 260 270 272 426 428 468 470
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: 470
Found by: [SG-FC] hl
db: batch=82, k=14, 28 124 100 10 154 40

SPT(16)	2830415700583063049	0 78 92 114 162 164 198 212 240 254 288 290 338 360 374 452	-1721252681232
TPT(14)	2830415784540059201	0 2 126 128 210 212 390 392 420 422 456 458 468 470	-1637295685080
STPT(10)	2830416215636074361	0 2 6 8 18 20 30 32 36 38	-1206199669920
SPT(16)	2830416955896082103	0 6 38 74 78 80 116 140 144 168 204 206 210 246 278 284	-465939662178
STPT(10)	2830417100116019969	0 2 42 44 60 62 78 80 120 122	-321719724312
SPT(16)	2830417180112550307	0 4 24 94 96 144 156 186 220 250 262 310 312 382 402 406	-241723193974
STPT(10)	2830417601273375549	0 2 42 44 60 62 78 80 120 122	179437631268
SPT(16)	2830417642366661401	0 28 42 46 60 70 82 88 90 96 108 118 132 136 150 178	220530917120
STPT(10)	2830417690547395769	0 2 18 20 30 32 42 44 60 62	268711651488
STPT(10)	2830418313782992529	0 2 18 20 60 62 102 104 120 122	891947248248
SPT(16)	2830418340297356099	0 30 54 68 78 114 140 200 222 282 308 344 354 368 392 422	918461611818