Prime p₀= 2322049321327894889 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 10 2 28 2 64 2 22 2 16 2 16 2 (?)
a_n: 0 2 12 14 42 44 108 110 132 134 150 152 168 170
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: 170
Found by: Orange Kid
db: batch=81, k=14, 10 28 64 22 16 16

SPT(16)	2322048557881967267	0 12 20 26 84 96 104 114 122 132 140 152 210 216 224 236	-763445927622
SPT(16)	2322048883693494979	0 4 24 30 58 70 78 100 162 184 192 204 232 238 258 262	-437634399910
SPT(16)	2322048969723974039	0 2 14 24 42 50 128 150 152 174 252 260 278 288 300 302	-351603920850
SPT(16)	2322049047129609929	0 50 108 110 204 234 260 294 344 378 404 434 528 530 588 638	-274198284960
STPT(10)	2322049173816862121	0 2 30 32 78 80 126 128 156 158	-147511032768
STPT(10)	2322049276226619887	0 2 54 56 132 134 210 212 264 266	-45101275002
SPT(16)	2322049361844586061	0 80 98 108 140 186 200 206 210 216 230 276 308 318 336 416	40516691172
STPT(10)	2322049800958861619	0 2 48 50 60 62 72 74 120 122	479630966730
SPT(16)	2322049820921651399	0 24 38 50 80 90 108 140 168 200 218 228 258 270 284 308	499593756510
SPT(16)	2322049943049038593	0 40 96 108 130 136 160 228 286 354 378 384 406 418 474 514	621721143704
SPT(16)	2322050175552406237	0 42 72 94 130 142 204 220 246 262 324 336 372 394 424 466	854224511348