Prime p₀= 2700365363058475457 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 142 2 58 2 46 2 16 2 58 2 22 2 (?)
a_n: 0 2 144 146 204 206 252 254 270 272 330 332 354 356
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: 356
Found by: biodoc
db: batch=82, k=14, 142 58 46 16 58 22

STPT(10)	2700364439883848597	0 2 30 32 72 74 114 116 144 146	-923174626860
SPT(16)	2700364642851974993	0 26 38 56 66 96 126 140 156 170 200 230 240 258 270 296	-720206500464
STPT(12)	2700364907297917679	0 2 42 44 72 74 108 110 138 140 180 182	-455760557778
SPT(18)	2700365289206851069	0 4 84 90 112 118 172 192 198 214 220 240 294 300 322 328 408 412	-73851624388
STPT(10)	2700365339634551759	0 2 18 20 30 32 42 44 60 62	-23423923698
SPT(16)	2700365345170978313	0 14 20 26 38 80 134 170 174 210 264 306 318 324 330 344	-17887497144
SPT(16)	2700365547194223217	0 24 40 60 70 82 136 184 192 240 294 306 316 336 352 376	184135747760
STPT(10)	2700366065118140561	0 2 6 8 18 20 30 32 36 38	702059665104
SPT(18)	2700366242451200987	0 14 42 44 56 60 72 144 174 182 212 284 296 300 312 314 342 356	879392725530
STPT(10)	2700366267529476779	0 2 48 50 60 62 72 74 120 122	904471001322
SPT(16)	2700366509088754661	0 8 26 36 50 56 68 80 138 150 162 168 182 192 210 218	1146030279204