Prime p₀= 2004415835629393721 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 4 2 28 2 28 2 28 2 52 2 64 2 (?)
a_n: 0 2 6 8 36 38 66 68 96 98 150 152 216 218
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: 218
Found by: LeChat51X
db: batch=80, k=14, 4 28 28 28 52 64

STPT(10)	2004414715352577821	0 2 60 62 168 170 276 278 336 338	-1120276815900
STPT(10)	2004415387688044691	0 2 6 8 48 50 90 92 96 98	-447941349030
SPT(16)	2004415500483981539	0 30 50 54 62 80 92 164 180 252 264 282 290 294 314 344	-335145412182
SPT(16)	2004415523443547119	0 10 54 64 72 78 100 120 142 162 184 190 198 208 252 262	-312185846602
STPT(10)	2004415524601851467	0 2 30 32 42 44 54 56 84 86	-311027542254
SPT(16)	2004415661103889249	0 24 34 42 52 54 60 168 184 292 298 300 310 318 328 352	-174525504472
SPT(16)	2004416209402758373	0 18 40 60 84 88 124 126 148 150 186 190 214 234 256 274	373773364652
SPT(16)	2004416279607936499	0 18 28 40 88 112 160 172 198 210 258 282 330 342 352 370	443978542778
STPT(10)	2004416580642862847	0 2 24 26 42 44 60 62 84 86	745013469126
SPT(16)	2004417039329048017	0 22 66 72 144 150 156 172 174 190 196 202 274 280 324 346	1203699654296
STPT(10)	2004417149183882759	0 2 18 20 30 32 42 44 60 62	1313554489038