Prime p₀= 2541669299036412239 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 46 2 28 2 22 2 94 2 10 2 58 2 (?)
a_n: 0 2 48 50 78 80 102 104 198 200 210 212 270 272
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: 272
Found by: RFGuy_KCCO
db: batch=82, k=14, 46 28 22 94 10 58

SPT(16)	2541668346836833787	0 6 42 140 152 170 180 212 234 266 276 294 306 404 440 446	-952199578452
STPT(10)	2541668408881478489	0 2 18 20 30 32 42 44 60 62	-890154933750
TPT(14)	2541668663157174179	0 2 12 14 72 74 168 170 270 272 378 380 390 392	-635879238060
SPT(16)	2541668668426140137	0 14 20 42 126 134 152 170 216 234 252 260 344 366 372 386	-630610272102
STPT(10)	2541668670603935627	0 2 30 32 42 44 54 56 84 86	-628432476612
STPT(10)	2541669037402634987	0 2 12 14 42 44 72 74 84 86	-261633777252
STPT(10)	2541669335515300049	0 2 12 14 90 92 168 170 180 182	36478887810
STPT(10)	2541669604687988417	0 2 24 26 42 44 60 62 84 86	305651576178
STPT(10)	2541669650488503947	0 2 24 26 42 44 60 62 84 86	351452091708
STPT(10)	2541669934803049049	0 2 18 20 30 32 42 44 60 62	635766636810
SPT(16)	2541670165337684767	0 60 84 94 114 130 144 172 192 220 234 250 270 280 304 364	866301272528