Prime p₀= 2540091863024134829 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 16 2 28 2 160 2 10 2 76 2 46 2 (?)
a_n: 0 2 18 20 48 50 210 212 222 224 300 302 348 350
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: 350
Found by: Cyph3r
db: batch=82, k=14, 16 28 160 10 76 46

SPT(16)	2540090629874977913	0 44 48 104 108 114 126 128 186 188 200 206 210 266 270 314	-1233149156916
STPT(10)	2540090674988513201	0 2 36 38 78 80 120 122 156 158	-1188035621628
STPT(10)	2540090749538482097	0 2 24 26 42 44 60 62 84 86	-1113485652732
SPT(16)	2540090785544167307	0 102 180 210 272 314 372 386 390 404 462 504 566 596 674 776	-1077479967522
SPT(16)	2540091055188659153	0 54 60 68 150 188 210 278 306 374 396 434 516 524 530 584	-807835475676
SPT(16)	2540091836654777863	0 28 78 84 94 100 138 150 208 220 258 264 274 280 330 358	-26369356966
STPT(10)	2540092894810356461	0 2 36 38 78 80 120 122 156 158	1031786221632
SPT(16)	2540092914000134789	0 18 24 92 140 150 158 174 218 234 242 252 300 368 374 392	1050975999960
SPT(16)	2540093105859961019	0 20 32 78 98 120 128 168 272 312 320 342 362 408 420 440	1242835826190
STPT(10)	2540093597911199381	0 2 6 8 18 20 30 32 36 38	1734887064552
SPT(16)	2540093677376393189	0 18 50 60 72 84 90 104 198 212 218 230 242 252 284 302	1814352258360