Prime p₀= 2074744888350854801 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 196 2 10 2 28 2 124 2 40 2 28 2 (?)
a_n: 0 2 198 200 210 212 240 242 366 368 408 410 438 440
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: 440
Found by: Landjunge
db: batch=80, k=14, 196 10 28 124 40 28

SPT(18)	2074744051834177483	0 28 58 78 168 174 196 198 238 426 466 468 490 496 586 606 636 664	-836516677318
SPT(16)	2074744096784018237	0 2 30 42 50 152 162 240 242 320 330 432 440 452 480 482	-791566836564
SPT(16)	2074744259233082947	0 16 30 34 54 60 112 124 132 144 196 202 222 226 240 256	-629117771854
SPT(16)	2074744296193858013	0 6 20 44 86 98 128 138 176 186 216 228 270 294 308 314	-592156996788
STPT(10)	2074744305199041569	0 2 42 44 60 62 78 80 120 122	-583151813232
SPT(16)	2074744763790393241	0 28 42 52 88 136 166 172 186 192 222 270 306 316 330 358	-124560461560
TPT(14)	2074745215304106659	0 2 72 74 312 314 408 410 450 452 480 482 612 614	326953251858
STPT(10)	2074745778612635039	0 2 18 20 30 32 42 44 60 62	890261780238
STPT(10)	2074745833800843167	0 2 30 32 42 44 54 56 84 86	945449988366
SPT(16)	2074745979943949761	0 16 42 60 82 88 100 102 166 168 180 186 208 226 252 268	1091593094960
STPT(10)	2074746188143583369	0 2 48 50 60 62 72 74 120 122	1299792728568