Prime p₀= 2735356725029157611 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 28 2 58 2 4 2 82 2 16 2 58 2 (?)
a_n: 0 2 30 32 90 92 96 98 180 182 198 200 258 260
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: 260
Found by: [SG-FC] hl
db: batch=82, k=14, 28 58 4 82 16 58

SPT(16)	2735355450152005049	0 12 18 90 92 98 134 140 222 228 264 270 272 344 350 362	-1274877152562
SPT(13)	2735355749164720733	0 6 24 30 36 84 120 156 204 210 216 234 240	-975864436878
SPT(16)	2735355916435977943	0 28 36 78 94 108 154 174 220 240 286 300 316 358 366 394	-808593179668
STPT(10)	2735356226532240299	0 2 18 20 30 32 42 44 60 62	-498496917312
SPT(16)	2735356441378358507	0 6 24 132 140 156 164 176 210 222 230 246 254 362 380 386	-283650799104
STPT(10)	2735356471408101587	0 2 54 56 72 74 90 92 144 146	-253621056024
SPT(16)	2735357010311337493	0 58 64 130 168 180 186 196 198 208 214 226 264 330 336 394	285282179882
SPT(16)	2735357283891531931	0 46 102 136 178 186 280 298 300 318 412 420 462 496 552 598	558862374320
SPT(16)	2735357305756773337	0 12 16 22 40 52 136 154 162 180 264 276 294 300 304 316	580727615726
SPT(16)	2735357618141711791	0 28 60 90 132 148 172 196 222 246 270 286 328 358 390 418	893112554180
STPT(10)	2735357707931819981	0 2 6 8 48 50 90 92 96 98	982902662370