Prime p₀= 2629023870271500017 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 22 2 136 2 16 2 10 2 46 2 22 2 (?)
a_n: 0 2 24 26 162 164 180 182 192 194 240 242 264 266
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: 266
Found by: arkiss
db: batch=82, k=14, 22 136 16 10 46 22

STPT(10)	2629023029077852877	0 2 30 32 42 44 54 56 84 86	-841193647140
STPT(10)	2629023033699114719	0 2 42 44 60 62 78 80 120 122	-836572385298
SPT(16)	2629023099179789441	0 30 48 72 120 122 140 156 182 198 216 218 266 290 308 338	-771091710576
SPT(16)	2629023263252233459	0 22 72 94 138 150 162 192 250 280 292 304 348 370 420 442	-607019266558
SPT(16)	2629023272880295891	0 52 66 90 136 222 276 298 300 322 376 462 508 532 546 598	-597391204126
SPT(16)	2629023628414577417	0 2 80 86 92 104 126 150 266 290 312 324 330 336 414 416	-241856922600
STPT(10)	2629024149852647159	0 2 18 20 30 32 42 44 60 62	279581147142
SPT(16)	2629025118859751533	0 18 28 78 88 108 126 174 190 238 256 276 286 336 346 364	1248588251516
STPT(10)	2629025656304204357	0 2 30 32 72 74 114 116 144 146	1786032704340
STPT(10)	2629025969827830449	0 2 30 32 60 62 90 92 120 122	2099556330432
SPT(16)	2629026375799293683	0 24 36 98 114 146 188 206 258 276 318 350 366 428 440 464	2505527793666