Prime p₀= 2162139001543343237 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 28 2 10 2 16 2 22 2 34 2 82 2 (?)
a_n: 0 2 30 32 42 44 60 62 84 86 120 122 204 206
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: 206
Found by: Landjunge
db: batch=81, k=14, 28 10 16 22 34 82

SPT(16)	2162137376887332743	0 30 38 110 138 140 174 198 230 254 288 290 318 390 398 428	-1624656010494
SPT(16)	2162137658729473979	0 60 68 74 80 120 134 144 158 168 182 222 228 234 242 302	-1342813869258
SPT(16)	2162137989316420789	0 4 64 78 88 120 148 190 198 240 268 300 310 324 384 388	-1012226922448
STPT(10)	2162138133615297527	0 2 30 32 42 44 54 56 84 86	-867928045710
STPT(10)	2162138333131572161	0 2 36 38 78 80 120 122 156 158	-668411771076
STPT(10)	2162138915216619221	0 2 36 38 78 80 120 122 156 158	-86326724016
STPT(10)	2162139137189145941	0 2 30 32 78 80 126 128 156 158	135645802704
SPT(16)	2162139261661171339	0 10 22 40 60 84 100 120 172 192 208 232 252 270 282 292	260117828102
STPT(10)	2162139425264490281	0 2 36 38 78 80 120 122 156 158	423721147044
SPT(16)	2162139486371847589	0 12 70 84 118 132 190 222 280 312 370 384 418 432 490 502	484828504352
STPT(10)	2162140020844178897	0 2 30 32 42 44 54 56 84 86	1019300835660