Prime p₀= 2709070250552315807 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 22 2 106 2 76 2 40 2 10 2 64 2 (?)
a_n: 0 2 24 26 132 134 210 212 252 254 264 266 330 332
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: 332
Found by: JayPi
db: batch=82, k=14, 22 106 76 40 10 64

STPT(10)	2709068338917073919	0 2 42 44 60 62 78 80 120 122	-1911635241888
TPT(14)	2709068969986131407	0 2 54 56 114 116 144 146 174 176 180 182 210 212	-1280566184400
STPT(12)	2709069106017233747	0 2 12 14 30 32 54 56 72 74 84 86	-1144535082060
SPT(13)	2709069694571298781	0 42 66 72 120 150 156 162 192 240 246 270 312	-555981017026
SPT(16)	2709069764634337319	0 80 90 98 108 140 210 234 248 272 342 374 384 392 402 482	-485917978488
SPT(16)	2709069932283766157	0 36 60 96 152 164 194 204 242 252 282 294 350 386 410 446	-318268549650
SPT(16)	2709070773889554611	0 32 38 42 56 116 122 180 188 246 252 312 326 330 336 368	523337238804
SPT(16)	2709070957459071313	0 28 30 58 64 94 106 136 168 198 210 240 246 274 276 304	706906755506
SPT(13)	2709070988450244703	0 24 120 138 150 204 234 264 318 330 348 444 468	737897928896
SPT(16)	2709071128466520253	0 66 94 168 190 210 258 280 294 316 364 384 406 480 508 574	877914204446
SPT(16)	2709071692255777729	0 4 18 40 52 70 160 168 184 192 282 300 312 334 348 352	1441703461922