Prime p₀= 2387493521651309117 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 10 2 100 2 16 2 10 2 34 2 28 2 (?)
a_n: 0 2 12 14 114 116 132 134 144 146 180 182 210 212
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: 212
Found by: Xenon
db: batch=81, k=14, 10 100 16 10 34 28

TPT(16)	2387492663955434339	0 2 42 44 108 110 120 122 150 152 192 194 258 260 402 404	-857695874778
SPT(16)	2387492740429354511	0 38 42 50 78 90 98 116 132 150 158 170 198 206 210 248	-781221954606
TPT(14)	2387492835297242987	0 2 30 32 54 56 144 146 210 212 222 224 270 272	-686354066130
STPT(10)	2387492895600221711	0 2 30 32 78 80 126 128 156 158	-626051087406
SPT(16)	2387492968325736737	0 36 86 96 104 146 152 170 306 324 330 372 380 390 440 476	-553325572380
STPT(10)	2387493420351457037	0 2 42 44 72 74 102 104 144 146	-101299852080
SPT(16)	2387493577956053279	0 18 72 114 140 174 188 194 258 264 278 312 338 380 434 452	56304744162
STPT(10)	2387493582570763361	0 2 30 32 78 80 126 128 156 158	60919454244
SPT(16)	2387493588562656107	0 2 30 36 80 84 120 146 150 176 212 216 260 266 294 296	66911346990
SPT(16)	2387493701910397141	0 12 18 28 52 88 138 150 190 202 252 288 312 322 328 340	180259088024
SPT(16)	2387493843042003797	0 26 44 66 126 164 180 204 296 320 336 374 434 456 474 500	321390694680