Prime p₀= 2645399978997733037 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 10 2 76 2 28 2 10 2 40 2 76 2 (?)
a_n: 0 2 12 14 90 92 120 122 132 134 174 176 252 254
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: 254
Found by: eclipse99
db: batch=82, k=14, 10 76 28 10 40 76

SPT(16)	2645399050845066143	0 8 14 78 84 116 134 150 194 210 228 260 266 330 336 344	-928152666894
STPT(10)	2645399117549857619	0 2 18 20 30 32 42 44 60 62	-861447875418
STPT(10)	2645399386919555081	0 2 6 8 48 50 90 92 96 98	-592078177956
TPT(14)	2645399801189984561	0 2 30 32 60 62 90 92 126 128 186 188 240 242	-177807748476
SPT(16)	2645399964638631749	0 20 68 72 150 152 198 212 300 314 360 362 440 444 492 512	-14359101288
SPT(16)	2645399977032898003	0 18 28 34 70 84 90 120 154 184 190 204 240 246 256 274	-1964835034
STPT(10)	2645400045031730681	0 2 36 38 78 80 120 122 156 158	66033997644
SPT(16)	2645400070540984313	0 18 50 110 120 140 144 200 204 260 264 284 294 354 386 404	91543251276
STPT(10)	2645400288348327077	0 2 12 14 42 44 72 74 84 86	309350594040
TPT(14)	2645400398141987909	0 2 42 44 90 92 150 152 168 170 222 224 300 302	419144254872
STPT(10)	2645400404125216259	0 2 18 20 30 32 42 44 60 62	425127483222