Prime p₀= 2899720148876910839 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 58 2 40 2 28 2 64 2 40 2 16 2 (?)
a_n: 0 2 60 62 102 104 132 134 198 200 240 242 258 260
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: 260
Found by: Landjunge
db: batch=82, k=14, 58 40 28 64 40 16

TPT(14)	2899718142896392547	0 2 144 146 162 164 210 212 240 242 294 296 312 314	-2005980518292
SPT(16)	2899718202392628307	0 40 60 120 132 150 190 210 214 234 274 292 304 364 384 424	-1946484282532
STPT(10)	2899718312198062097	0 2 30 32 42 44 54 56 84 86	-1836678848742
SPT(16)	2899719127520966039	0 48 50 72 78 90 98 144 158 204 212 224 230 252 254 302	-1021355944800
STPT(10)	2899719347638721807	0 2 90 92 132 134 174 176 264 266	-801238189032
STPT(10)	2899719441021043601	0 2 36 38 78 80 120 122 156 158	-707855867238
STPT(10)	2899720173916244267	0 2 30 32 42 44 54 56 84 86	25039333428
SPT(16)	2899720325281107637	0 12 36 102 112 180 196 214 222 240 256 324 334 400 424 436	176404196798
STPT(10)	2899720327902779987	0 2 12 14 72 74 132 134 144 146	179025869148
SPT(16)	2899720561087754231	0 6 32 48 90 92 120 122 126 128 156 158 200 216 242 248	412210843392
STPT(10)	2899720629532000367	0 2 30 32 60 62 90 92 120 122	480655089528