Prime p₀= 2617413116702953367 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 28 2 130 2 28 2 88 2 10 2 76 2 (?)
a_n: 0 2 30 32 162 164 192 194 282 284 294 296 372 374
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: 374
Found by: JayPi
db: batch=82, k=14, 28 130 28 88 10 76

STPT(10)	2617411416714362069	0 2 42 44 90 92 138 140 180 182	-1699988591298
SPT(16)	2617411601331252203	0 48 66 74 78 86 134 158 216 240 288 296 300 308 326 374	-1515371701164
TPT(14)	2617411814104424537	0 2 54 56 72 74 102 104 210 212 270 272 324 326	-1302598528830
SPT(16)	2617412219538723899	0 12 42 48 50 54 78 90 182 194 218 222 224 230 260 272	-897164229468
STPT(12)	2617412320039413287	0 2 30 32 42 44 210 212 222 224 252 254	-796663540080
SPT(16)	2617412731719904589	0 20 42 50 72 92 104 128 174 198 210 230 252 260 282 302	-384983048778
SPT(16)	2617413484657501381	0 48 76 82 88 108 112 126 172 186 190 210 216 222 250 298	367954548014
SPT(18)	2617413604437143639	0 12 30 78 84 102 114 152 162 200 210 248 260 278 284 332 350 362	487734190272
SPT(16)	2617413845766040183	0 10 24 84 88 90 120 130 234 244 274 276 280 340 354 364	729063086816
SPT(16)	2617413865013472739	0 4 40 78 114 118 144 154 174 184 210 214 250 288 324 328	748310519372
STPT(10)	2617413991548279569	0 2 48 50 60 62 72 74 120 122	874845326202