Prime p₀= 2168414213105613971 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 34 2 40 2 40 2 34 2 82 2 34 2 (?)
a_n: 0 2 36 38 78 80 120 122 156 158 240 242 276 278
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: 278
Found by: eclipse99
db: batch=81, k=14, 34 40 40 34 82 34

STPT(10)	2168412969564879929	0 2 48 50 90 92 132 134 180 182	-1243540734042
STPT(10)	2168413086174619379	0 2 18 20 30 32 42 44 60 62	-1126930994592
STPT(10)	2168413315366159187	0 2 42 44 72 74 102 104 144 146	-897739454784
SPT(16)	2168413418209976981	0 26 36 38 92 102 110 120 158 168 176 186 240 242 252 278	-794895636990
SPT(16)	2168413423632169141	0 18 36 70 108 120 150 168 190 208 238 250 288 322 340 358	-789473444830
STPT(10)	2168414037030255281	0 2 36 38 78 80 120 122 156 158	-176075358690
STPT(10)	2168414213105613971	0 2 36 38 78 80 120 122 156 158	0
SPT(16)	2168414489534939039	0 8 14 50 62 242 252 254 258 260 270 450 462 498 504 512	276429325068
SPT(16)	2168414490056088929	0 18 32 68 84 92 98 120 152 174 180 188 204 240 254 272	276950474958
SPT(16)	2168414850512651407	0 10 34 42 60 130 142 150 154 162 174 244 262 270 294 304	637407037436
SPT(16)	2168415313571339743	0 28 96 136 148 180 210 234 250 274 304 336 348 388 456 484	1100465725772