Prime p₀= 2003478261486491969 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 16 2 82 2 64 2 10 2 70 2 166 2 (?)
a_n: 0 2 18 20 102 104 168 170 180 182 252 254 420 422
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: 422
Found by: Dingo
db: batch=80, k=14, 16 82 64 10 70 166

SPT(16)	2003477575554073987	0 34 42 90 132 196 222 306 310 394 420 484 526 574 582 616	-685932417982
SPT(16)	2003477663696665279	0 12 54 58 90 100 112 160 162 210 222 232 264 268 310 322	-597789826690
STPT(10)	2003477779209003239	0 2 18 20 30 32 42 44 60 62	-482277488730
SPT(16)	2003477821148855767	0 16 30 42 52 60 94 126 130 162 196 204 214 226 240 256	-440337636202
STPT(10)	2003477885528579699	0 2 72 74 180 182 288 290 360 362	-375957912270
SPT(16)	2003478238336698803	0 30 38 50 110 168 194 278 306 390 416 474 534 546 554 584	-23149793166
TPT(14)	2003478314838824039	0 2 12 14 60 62 102 104 138 140 150 152 210 212	53352332070
SPT(16)	2003478420661170071	0 2 36 38 42 80 86 108 110 132 138 176 180 182 216 218	159174678102
SPT(16)	2003478599239719067	0 16 22 30 42 126 180 202 204 226 280 364 376 384 390 406	337753227098
SPT(16)	2003479421988079303	0 16 58 64 118 154 244 246 268 270 360 396 450 456 498 514	1160501587334
SPT(16)	2003479477127034059	0 44 54 110 128 132 170 200 222 252 290 294 312 368 378 422	1215640542090