Prime p₀= 4503897455967076961 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 64 2 70 2 40 2 154 2 40 2 130 2 (?)
a_n: 0 2 66 68 138 140 180 182 336 338 378 380 510 512
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: 512
Found by: Antares2022
db: batch=85, k=14, 64 70 40 154 40 130

SPT(16)	4503895784982940193	0 38 80 96 144 168 224 264 350 390 446 470 518 534 576 614	-1670984136768
STPT(10)	4503895882960038119	0 2 18 20 60 62 102 104 120 122	-1573007038842
TPT(14)	4503896172842028377	0 2 60 62 72 74 120 122 162 164 372 374 384 386	-1283125048584
SPT(16)	4503896531446346357	0 30 42 50 66 72 92 96 110 114 134 140 156 164 176 206	-924520730604
SPT(16)	4503896922365197979	0 138 180 188 224 234 242 270 272 300 308 318 354 362 404 542	-533601878982
SPT(16)	4503897449820494329	0 10 30 58 88 108 118 172 198 252 262 282 312 340 360 370	-6146582632
SPT(16)	4503897567435252281	0 12 36 50 72 162 168 236 252 320 326 416 438 452 476 488	111468175320
SPT(16)	4503897664333126849	0 12 30 70 72 82 100 142 210 252 270 280 282 322 340 352	208366049888
SPT(16)	4503897706277607763	0 28 48 58 66 94 184 198 256 270 360 388 396 406 426 454	250310530802
TPT(14)	4503897718886178257	0 2 12 14 150 152 162 164 204 206 240 242 282 284	262919101296
TPT(14)	4503897822701489339	0 2 30 32 78 80 108 110 150 152 162 164 210 212	366734412378