Prime p₀= 2539644529126137491 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 88 2 34 2 82 2 244 2 22 2 28 2 (?)
a_n: 0 2 90 92 126 128 210 212 456 458 480 482 510 512
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: RFGuy_KCCO
db: batch=82, k=14, 88 34 82 244 22 28

SPT(16)	2539643469659447189	0 2 38 42 80 98 128 212 330 414 444 462 500 504 540 542	-1059466690302
SPT(16)	2539643715030396263	0 6 14 24 48 80 84 128 186 230 234 266 290 300 308 314	-814095741228
STPT(10)	2539643862346267751	0 2 6 8 48 50 90 92 96 98	-666779869740
STPT(10)	2539643939391639317	0 2 12 14 42 44 72 74 84 86	-589734498174
SPT(16)	2539644291861286657	0 12 46 66 90 102 150 222 334 406 454 466 490 510 544 556	-237264850834
SPT(16)	2539644469193110733	0 44 116 128 156 180 198 210 224 236 254 278 306 318 390 434	-59933026758
STPT(10)	2539644787747093289	0 2 48 50 90 92 132 134 180 182	258620955798
SPT(16)	2539644965511011429	0 8 12 24 30 32 38 42 110 114 120 122 128 140 144 152	436384873938
SPT(16)	2539645292889012667	0 10 30 34 76 100 112 156 280 324 336 360 402 406 426 436	763762875176
STPT(10)	2539645369235936849	0 2 18 20 30 32 42 44 60 62	840109799358
STPT(10)	2539645443650257487	0 2 30 32 42 44 54 56 84 86	914524119996