Prime p₀= 1272056180950038221 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 34 2 40 2 10 2 46 2 70 2 4 2 (?)
a_n: 0 2 36 38 78 80 90 92 138 140 210 212 216 218
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: 218
Found by: HenkM
db: batch=77, k=14, 34 40 10 46 70 4

STPT(10)	1272054360488920871	0 2 36 38 78 80 120 122 156 158	-1820461117350
SPT(16)	1272054883462360531	0 30 36 70 72 78 132 190 198 256 310 316 318 352 358 388	-1297487677690
SPT(16)	1272055029902203213	0 30 88 90 144 184 190 240 244 294 300 340 394 396 454 484	-1151047835008
STPT(10)	1272055698938120849	0 2 18 20 30 32 42 44 60 62	-482011917372
STPT(12)	1272055808253331067	0 2 42 44 72 74 150 152 180 182 222 224	-372696707154
TPT(14)	1272056137947363077	0 2 12 14 72 74 150 152 204 206 264 266 282 284	-43002675144
SPT(16)	1272056382589791083	0 20 50 98 158 174 180 224 264 308 314 330 390 438 468 488	201639752862
STPT(10)	1272056763126818477	0 2 30 32 42 44 54 56 84 86	582176780256
SPT(16)	1272056817736440139	0 78 94 112 120 144 160 174 208 222 238 262 270 288 304 382	636786401918
SPT(16)	1272056906824821307	0 4 40 54 84 102 144 186 190 232 274 292 322 336 372 376	725874783086
SPT(16)	1272057974932969009	0 10 34 52 90 118 154 174 178 198 234 262 300 318 342 352	1793982930788