Prime p₀= 2829743053136716427 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 82 2 154 2 28 2 10 2 16 2 22 2 (?)
a_n: 0 2 84 86 240 242 270 272 282 284 300 302 324 326
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: 326
Found by: JayPi
db: batch=82, k=14, 82 154 28 10 16 22

SPT(13)	2829740511021602447	0 24 54 66 84 90 150 210 216 234 246 276 300	-2542115113980
SPT(18)	2829741083217201809	0 62 104 122 144 168 188 200 218 234 252 264 284 308 330 348 390 452	-1969919514618
SPT(16)	2829741105117813137	0 14 20 60 104 116 140 186 224 270 294 306 350 390 396 410	-1948018903290
SPT(13)	2829741707589184823	0 36 66 78 108 156 198 240 288 318 330 360 396	-1345547531604
SPT(16)	2829742506265630559	0 18 38 74 92 108 120 134 258 272 284 300 318 354 374 392	-546871085868
SPT(16)	2829743029612285001	0 80 90 132 146 152 206 222 230 246 300 306 320 362 372 452	-23524431426
SPT(16)	2829743353198941833	0 14 24 44 86 146 164 170 174 180 198 258 300 320 330 344	300062225406
SPT(16)	2829743614135613621	0 6 50 68 80 98 110 120 278 288 300 318 330 348 392 398	560998897194
TPT(14)	2829744007956455969	0 2 12 14 42 44 150 152 162 164 222 224 240 242	954819739542
STPT(10)	2829744351357533579	0 2 12 14 30 32 48 50 60 62	1298220817152
SPT(16)	2829744537004212449	0 24 74 140 144 150 180 182 240 242 272 278 282 348 398 422	1483867496022