Prime p₀= 2312075456674296497 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 70 2 58 2 106 2 70 2 16 2 178 2 (?)
a_n: 0 2 72 74 132 134 240 242 312 314 330 332 510 512
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: 512
Found by: Merowig
db: batch=81, k=14, 70 58 106 70 16 178

TPT(14)	2312074345568710139	0 2 72 74 102 104 180 182 240 242 312 314 390 392	-1111105586358
STPT(10)	2312074481694147197	0 2 24 26 42 44 60 62 84 86	-974980149300
SPT(16)	2312074487008112119	0 10 12 28 94 130 154 168 184 198 222 258 324 340 342 352	-969666184378
SPT(16)	2312075040535299071	0 42 68 126 140 152 158 168 170 180 186 198 212 270 296 338	-416138997426
STPT(10)	2312075082177447869	0 2 42 44 60 62 78 80 120 122	-374496848628
STPT(10)	2312075363257470929	0 2 18 20 30 32 42 44 60 62	-93416825568
STPT(10)	2312075456823729827	0 2 24 26 42 44 60 62 84 86	149433330
SPT(16)	2312075700056880323	0 26 38 60 68 74 90 108 146 164 180 186 194 216 228 254	243382583826
STPT(10)	2312076119581441667	0 2 24 26 42 44 60 62 84 86	662907145170
STPT(10)	2312076164213781377	0 2 24 26 42 44 60 62 84 86	707539484880
SPT(16)	2312076353230551839	0 8 60 78 122 152 158 170 192 204 210 240 284 302 354 362	896556255342