Prime p₀= 2164289226982071569 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 28 2 40 2 124 2 88 2 40 2 10 2 (?)
a_n: 0 2 30 32 72 74 198 200 288 290 330 332 342 344
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: 344
Found by: Landjunge
db: batch=81, k=14, 28 40 124 88 40 10

STPT(10)	2164288168219523111	0 2 6 8 108 110 210 212 216 218	-1058762548458
STPT(10)	2164288342188010811	0 2 90 92 108 110 126 128 216 218	-884794060758
STPT(10)	2164288577641524119	0 2 42 44 60 62 78 80 120 122	-649340547450
SPT(16)	2164288804871478679	0 4 10 64 88 94 160 220 252 312 378 384 408 462 468 472	-422110592890
STPT(10)	2164288868059287881	0 2 6 8 18 20 30 32 36 38	-358922783688
SPT(16)	2164289106163484171	0 68 146 158 222 242 296 300 308 312 366 386 450 462 540 608	-120818587398
SPT(16)	2164289349313355083	0 54 106 136 144 210 270 304 366 400 460 526 534 564 616 670	122331283514
SPT(16)	2164289584316151263	0 6 24 60 96 110 116 164 210 258 264 278 314 350 368 374	357334079694
SPT(16)	2164289761405036999	0 30 48 100 118 132 160 172 210 222 250 264 282 334 352 382	534422965430
SPT(16)	2164289976946808429	0 20 32 42 68 78 80 90 110 120 122 132 158 168 180 200	749964736860
STPT(10)	2164290716220863051	0 2 6 8 48 50 90 92 96 98	1489238791482