Prime p₀= 2720735912472758837 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 22 2 28 2 214 2 10 2 160 2 4 2 (?)
a_n: 0 2 24 26 54 56 270 272 282 284 444 446 450 452
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: 452
Found by: JayPi
db: batch=82, k=14, 22 28 214 10 160 4

SPT(16)	2720734744867781867	0 44 84 140 234 246 252 260 276 284 290 302 396 452 492 536	-1167604976970
SPT(16)	2720735062035533077	0 42 82 94 96 120 142 150 166 174 196 220 222 234 274 316	-850437225760
STPT(12)	2720735102941077401	0 2 60 62 90 92 126 128 156 158 216 218	-809531681436
SPT(16)	2720735247325307651	0 8 20 38 48 62 90 92 108 110 138 152 162 180 192 200	-665147451186
SPT(16)	2720735750037681821	0 2 42 60 86 128 152 158 210 216 240 282 308 326 366 368	-162435077016
STPT(10)	2720735791278788609	0 2 18 20 30 32 42 44 60 62	-121193970228
STPT(10)	2720735953596284381	0 2 6 8 18 20 30 32 36 38	41123525544
SPT(16)	2720736017439251233	0 30 36 64 100 154 168 198 226 256 270 324 360 388 394 424	104966492396
SPT(16)	2720737101460668259	0 12 22 34 54 78 120 132 160 172 214 238 258 270 280 292	1188987909422
STPT(10)	2720737595424330509	0 2 18 20 30 32 42 44 60 62	1682951571672
STPT(10)	2720737771038108707	0 2 12 14 42 44 72 74 84 86	1858565349870