Prime p₀= 2081664763689011951 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 28 2 28 2 94 2 88 2 52 2 64 2 (?)
a_n: 0 2 30 32 60 62 156 158 246 248 300 302 366 368
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: 368
Found by: Landjunge
db: batch=80, k=14, 28 28 94 88 52 64

STPT(10)	2081663677128348149	0 2 48 50 90 92 132 134 180 182	-1086560663802
STPT(10)	2081663946007858109	0 2 42 44 60 62 78 80 120 122	-817681153842
STPT(10)	2081664158906969627	0 2 42 44 72 74 102 104 144 146	-604782042324
SPT(16)	2081664291585468041	0 30 56 60 72 92 180 182 216 218 306 326 338 342 368 398	-472103543910
SPT(16)	2081664558975038269	0 22 52 70 94 100 124 144 148 168 192 198 222 240 270 292	-204713973682
SPT(16)	2081664662662959277	0 36 72 94 96 114 124 126 220 222 232 250 252 274 310 346	-101026052674
STPT(10)	2081664824864934887	0 2 30 32 42 44 54 56 84 86	61175922936
STPT(10)	2081664934491075677	0 2 42 44 72 74 102 104 144 146	170802063726
SPT(16)	2081665224484900429	0 18 34 70 78 90 100 114 214 228 238 250 258 294 310 328	460795888478
SPT(16)	2081665249179372503	0 6 14 26 48 66 80 104 240 264 278 296 318 330 338 344	485490360552
STPT(10)	2081665255045193141	0 2 36 38 78 80 120 122 156 158	491356181190