Prime p₀= 3008676010564183241 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 76 2 88 2 46 2 82 2 28 2 4 2 (?)
a_n: 0 2 78 80 168 170 216 218 300 302 330 332 336 338
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: 338
Found by: conf [MM]
db: batch=82, k=14, 76 88 46 82 28 4

SPT(16)	3008674383523186163	0 24 56 74 114 128 144 164 210 230 246 260 300 318 350 374	-1627040997078
STPT(10)	3008674654391263997	0 2 60 62 72 74 84 86 144 146	-1356172919244
TPT(14)	3008675120104464911	0 2 60 62 78 80 168 170 240 242 270 272 330 332	-890459718330
TPT(14)	3008675160972280691	0 2 78 80 108 110 168 170 210 212 336 338 348 350	-849591902550
STPT(10)	3008675347845235049	0 2 42 44 60 62 78 80 120 122	-662718948192
SPT(16)	3008675598986320817	0 30 42 50 72 86 134 144 152 162 210 224 246 254 266 296	-411577862424
SPT(16)	3008676556958160497	0 14 56 182 234 252 290 296 360 366 404 422 474 600 642 656	546393977256
STPT(10)	3008676938171526299	0 2 18 20 30 32 42 44 60 62	927607343058
SPT(16)	3008676948276106439	0 8 72 90 92 120 132 194 198 260 272 300 302 320 384 392	937711923198
SPT(16)	3008677232620450871	0 30 32 42 60 90 110 132 140 162 182 212 230 240 242 272	1222056267630
SPT(16)	3008677699311583433	0 18 30 38 54 56 78 80 114 116 138 140 156 164 176 194	1688747400192