Prime p₀= 2091070269236469419 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 40 2 76 2 130 2 76 2 46 2 10 2 (?)
a_n: 0 2 42 44 120 122 252 254 330 332 378 380 390 392
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: 392
Found by: MechWarrior
db: batch=80, k=14, 40 76 130 76 46 10

SPT(16)	2091067626838597067	0 14 44 66 72 90 156 174 272 290 356 374 380 402 432 446	-2642397872352
SPT(16)	2091068378277089957	0 6 26 32 42 50 56 144 212 300 306 314 324 330 350 356	-1890959379462
STPT(10)	2091068789647202381	0 2 30 32 78 80 126 128 156 158	-1479589267038
SPT(16)	2091068946496043089	0 10 30 58 130 142 168 184 198 214 240 252 324 352 372 382	-1322740426330
SPT(16)	2091069665129920591	0 22 30 36 70 78 100 106 162 168 190 198 232 238 246 268	-604106548828
SPT(16)	2091070033370699897	0 60 66 74 80 92 96 152 174 230 234 246 252 260 266 326	-235865769522
TPT(14)	2091070468073893121	0 2 6 8 60 62 126 128 156 158 168 170 210 212	198837423702
TPT(14)	2091070479741834599	0 2 138 140 222 224 360 362 402 404 420 422 450 452	210505365180
SPT(16)	2091070572922955003	0 30 44 50 128 144 164 246 248 330 350 366 444 450 464 494	303686485584
STPT(10)	2091070807306572989	0 2 18 20 60 62 102 104 120 122	538070103570
SPT(16)	2091070841035953067	0 16 54 70 120 142 162 244 252 334 354 376 426 442 480 496	571799483648