Prime p₀= 2302347599681800841 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 58 2 94 2 58 2 40 2 106 2 70 2 (?)
a_n: 0 2 60 62 156 158 216 218 258 260 366 368 438 440
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: 440
Found by: FritzB
db: batch=81, k=14, 58 94 58 40 106 70

TPT(14)	2302345952986011521	0 2 66 68 96 98 108 110 120 122 156 158 210 212	-1646695789320
SPT(16)	2302346107127050183	0 64 78 94 108 148 156 184 210 238 246 286 300 316 330 394	-1492554750658
STPT(10)	2302346755159039451	0 2 36 38 78 80 120 122 156 158	-844522761390
SPT(16)	2302347047984171273	0 56 78 86 96 108 126 198 218 290 308 320 330 338 360 416	-551697629568
SPT(16)	2302347256522054121	0 8 18 50 78 92 122 132 158 168 198 212 240 272 282 290	-343159746720
SPT(16)	2302347547488661781	0 8 20 26 42 56 66 92 96 122 132 146 162 168 180 188	-52193139060
STPT(10)	2302347698827284137	0 2 12 14 42 44 72 74 84 86	99145483296
SPT(16)	2302347967785682177	0 4 34 40 60 154 174 196 300 322 342 436 456 462 492 496	368103881336
TPT(14)	2302347991193550107	0 2 12 14 90 92 210 212 264 266 294 296 300 302	391511749266
SPT(16)	2302348032642395219	0 14 20 32 42 54 74 102 110 138 158 170 180 192 198 212	432960594378
SPT(16)	2302348287879436651	0 82 210 226 246 282 292 336 346 390 400 436 456 472 600 682	688197635810