Prime p₀= 2182786488602472209 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 28 2 40 2 58 2 178 2 28 2 64 2 (?)
a_n: 0 2 30 32 72 74 132 134 312 314 342 344 408 410
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: 410
Found by: Penguin
db: batch=81, k=14, 28 40 58 178 28 64

STPT(10)	2182784887318766567	0 2 90 92 132 134 174 176 264 266	-1601283705642
STPT(10)	2182785029908558247	0 2 12 14 42 44 72 74 84 86	-1458693913962
SPT(16)	2182785321337305523	0 4 34 40 94 126 138 144 160 166 178 210 264 270 300 304	-1167265166686
SPT(16)	2182785512157917077	0 12 34 42 64 90 120 124 132 136 166 192 214 222 244 256	-976444555132
SPT(16)	2182786070152624583	0 14 50 96 98 126 138 150 164 176 188 216 218 264 300 314	-418449847626
SPT(16)	2182786235844630109	0 4 40 82 130 178 192 210 232 250 264 312 360 402 438 442	-252757842100
STPT(10)	2182786493071324487	0 2 12 14 42 44 72 74 84 86	4468852278
STPT(10)	2182786518821781209	0 2 42 44 120 122 198 200 240 242	30219309000
STPT(10)	2182786712962374917	0 2 30 32 72 74 114 116 144 146	224359902708
SPT(16)	2182786794779686087	0 16 70 72 82 130 166 172 180 186 222 270 280 282 336 352	306177213878
TPT(14)	2182786853326255901	0 2 48 50 90 92 96 98 228 230 258 260 306 308	364723783692