Prime p₀= 2765170179373721657 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 22 2 46 2 28 2 10 2 76 2 76 2 (?)
a_n: 0 2 24 26 72 74 102 104 114 116 192 194 270 272
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: 272
Found by: JayPi
db: batch=82, k=14, 22 46 28 10 76 76

SPT(16)	2765167827534227413	0 4 6 28 58 70 138 198 226 286 354 366 396 418 420 424	-2351839494244
TPT(14)	2765168433832691519	0 2 12 14 42 44 48 50 78 80 120 122 180 182	-1745541030138
STPT(10)	2765168862488690687	0 2 30 32 42 44 54 56 84 86	-1316885030970
SPT(16)	2765169601794351551	0 8 48 50 62 92 140 198 512 570 618 648 660 662 702 710	-577579370106
STPT(10)	2765169636230357969	0 2 18 20 30 32 42 44 60 62	-543143363688
STPT(10)	2765170057010082089	0 2 18 20 30 32 42 44 60 62	-122363639568
STPT(10)	2765170330653559637	0 2 30 32 42 44 54 56 84 86	151279837980
STPT(10)	2765170391539816607	0 2 12 14 42 44 72 74 84 86	212166094950
STPT(10)	2765170395122475887	0 2 30 32 42 44 54 56 84 86	215748754230
SPT(16)	2765170637384252297	0 2 12 32 54 92 104 126 230 252 264 302 324 344 354 356	458010530640
SPT(16)	2765170804003385773	0 28 48 66 90 94 118 144 220 246 270 274 298 316 336 364	624629664116