Prime p₀= 2682117482574085571 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 28 2 64 2 100 2 10 2 94 2 10 2 (?)
a_n: 0 2 30 32 96 98 198 200 210 212 306 308 318 320
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: 320
Found by: JayPi
db: batch=82, k=14, 28 64 100 10 94 10

SPT(16)	2682116840156634479	0 20 48 84 104 128 170 180 188 198 240 264 284 320 348 368	-642417451092
SPT(16)	2682117025425373499	0 38 68 78 90 98 120 132 140 152 174 182 194 204 234 272	-457148712072
TPT(14)	2682117170974062047	0 2 42 44 114 116 174 176 252 254 282 284 384 386	-311600023524
STPT(10)	2682117357396598799	0 2 18 20 30 32 42 44 60 62	-125177486772
STPT(10)	2682117433972775297	0 2 90 92 102 104 114 116 204 206	-48601310274
STPT(10)	2682117442770671999	0 2 18 20 30 32 42 44 60 62	-39803413572
STPT(10)	2682117843653735027	0 2 30 32 72 74 114 116 144 146	361079649456
SPT(16)	2682118220965498559	0 14 18 38 54 60 72 84 98 110 122 128 144 164 168 182	738391412988
STPT(10)	2682118234501326161	0 2 30 32 78 80 126 128 156 158	751927240590
STPT(10)	2682118452319756787	0 2 30 32 42 44 54 56 84 86	969745671216
SPT(16)	2682118516433757169	0 48 58 72 88 118 132 142 198 208 222 252 268 282 292 340	1033859671598