Prime p₀= 2336629933198380977 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 22 2 16 2 10 2 316 2 10 2 34 2 (?)
a_n: 0 2 24 26 42 44 54 56 372 374 384 386 420 422
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: 422
Found by: Orange Kid
db: batch=81, k=14, 22 16 10 316 10 34

STPT(10)	2336628403447297637	0 2 12 14 42 44 72 74 84 86	-1529751083340
STPT(10)	2336628480329649029	0 2 18 20 30 32 42 44 60 62	-1452868731948
SPT(16)	2336628660802255583	0 36 38 66 80 126 134 168 176 210 218 264 278 306 308 344	-1272396125394
TPT(14)	2336628944444548781	0 2 30 32 60 62 96 98 108 110 198 200 240 242	-988753832196
STPT(10)	2336629606350410417	0 2 54 56 72 74 90 92 144 146	-326847970560
SPT(16)	2336629851135939211	0 6 30 46 72 100 112 130 198 216 228 256 282 298 322 328	-82062441766
STPT(10)	2336630091609872027	0 2 54 56 72 74 90 92 144 146	158411491050
SPT(16)	2336630279851182941	0 2 6 30 36 90 138 152 156 170 218 272 278 302 306 308	346652801964
SPT(16)	2336630903694132037	0 46 144 154 172 192 222 270 286 334 364 384 402 412 510 556	970495751060
STPT(10)	2336631446394746957	0 2 30 32 42 44 54 56 84 86	1513196365980
SPT(16)	2336631546589360193	0 20 38 50 68 90 134 138 176 180 224 246 264 276 294 314	1613390979216