Prime p₀= 2940633505618688897 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 10 2 76 2 70 2 10 2 76 2 76 2 (?)
a_n: 0 2 12 14 90 92 162 164 174 176 252 254 330 332
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: 332
Found by: Landjunge
db: batch=82, k=14, 10 76 70 10 76 76

SPT(16)	2940630960522757633	0 18 40 84 186 250 288 304 330 346 384 448 550 594 616 634	-2545095931264
STPT(10)	2940631218971763011	0 2 36 38 78 80 120 122 156 158	-2286646925886
SPT(16)	2940631553528709533	0 50 84 120 138 164 198 224 234 260 294 320 338 374 408 458	-1952089979364
SPT(16)	2940631674232340383	0 16 60 64 78 84 94 166 168 240 250 256 270 274 318 334	-1831386348514
STPT(10)	2940631825974241541	0 2 6 8 18 20 30 32 36 38	-1679644447356
SPT(16)	2940632655739422887	0 14 26 144 150 176 224 266 270 312 360 386 392 510 522 536	-849879266010
SPT(16)	2940634445908054781	0 2 42 56 68 116 152 186 212 246 282 330 342 356 396 398	940289365884
STPT(10)	2940634478076612017	0 2 30 32 42 44 54 56 84 86	972457923120
SPT(18)	2940634770452883311	0 48 56 90 92 110 132 140 146 162 168 176 198 216 218 252 260 308	1264834194414
STPT(10)	2940634902200184191	0 2 36 38 78 80 120 122 156 158	1396581495294
STPT(10)	2940634999544089787	0 2 30 32 60 62 90 92 120 122	1493925400890