Prime p₀= 2343757143260439539 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 46 2 28 2 10 2 58 2 10 2 16 2 (?)
a_n: 0 2 48 50 78 80 90 92 150 152 162 164 180 182
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: 182
Found by: Landjunge
db: batch=81, k=14, 46 28 10 58 10 16

STPT(10)	2343756345221522897	0 2 12 14 42 44 72 74 84 86	-798038916642
STPT(10)	2343756421000510331	0 2 6 8 48 50 90 92 96 98	-722259929208
SPT(16)	2343756553979794469	0 18 20 32 38 84 92 150 242 300 308 354 360 372 374 392	-589280645070
STPT(10)	2343756756535188737	0 2 12 14 42 44 72 74 84 86	-386725250802
STPT(10)	2343757047251591339	0 2 18 20 30 32 42 44 60 62	-96008848200
SPT(16)	2343757126367747807	0 2 6 44 54 80 90 114 122 146 156 182 192 230 234 236	-16892691732
STPT(10)	2343757303011365567	0 2 30 32 42 44 54 56 84 86	159750926028
STPT(10)	2343757429755930821	0 2 6 8 48 50 90 92 96 98	286495491282
SPT(16)	2343757982023706393	0 8 14 78 84 90 104 150 248 294 308 314 320 384 390 398	838763266854
SPT(16)	2343758217252746969	0 38 54 72 90 122 132 174 188 230 240 272 290 308 324 362	1073992307430
SPT(16)	2343758480361099107	0 36 54 56 62 92 132 150 206 224 264 294 300 302 320 356	1337100659568