Prime p₀= 2947189777078202609 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 28 2 88 2 166 2 22 2 148 2 16 2 (?)
a_n: 0 2 30 32 120 122 288 290 312 314 462 464 480 482
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: 482
Found by: Landjunge
db: batch=82, k=14, 28 88 166 22 148 16

SPT(16)	2947188262396490659	0 10 30 40 72 82 120 150 154 184 222 232 264 274 294 304	-1514681711950
STPT(10)	2947188585390690647	0 2 30 32 42 44 54 56 84 86	-1191687511962
SPT(16)	2947188801630096983	0 50 60 78 120 134 144 204 350 410 420 434 476 494 504 554	-975448105626
STPT(12)	2947189413325401611	0 2 66 68 78 80 168 170 180 182 246 248	-363752800998
STPT(10)	2947189505304059921	0 2 6 8 48 50 90 92 96 98	-271774142688
STPT(10)	2947189698027388349	0 2 48 50 90 92 132 134 180 182	-79050814260
SPT(16)	2947189975419217337	0 12 50 56 132 174 234 236 300 302 362 404 480 486 524 536	198341014728
TPT(14)	2947191448092123641	0 2 168 170 246 248 276 278 378 380 420 422 426 428	1671013921032
SPT(16)	2947191597576098203	0 4 6 64 70 88 108 126 178 196 216 234 240 298 300 304	1820497895594
SPT(16)	2947191645792082943	0 8 60 80 86 90 156 158 258 260 326 330 336 356 408 416	1868713880334
TPT(14)	2947191674344708991	0 2 30 32 90 92 126 128 168 170 198 200 270 272	1897266506382