Prime p₀= 1014507654365058851 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 46 2 40 2 148 2 196 2 10 2 64 2 (?)
a_n: 0 2 48 50 90 92 240 242 438 440 450 452 516 518
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: 518
Found by: Theadalus
db: batch=76, k=14, 46 40 148 196 10 64

SPT(18)	1014505690265383859	0 8 134 152 212 230 258 272 288 314 330 344 372 390 450 468 594 602	-1964099674992
SPT(16)	1014506115620066437	0 4 40 42 124 154 222 244 252 274 342 372 454 456 492 496	-1538744992414
STPT(10)	1014506303073204437	0 2 12 14 42 44 72 74 84 86	-1351291854414
SPT(16)	1014506489780549159	0 8 20 42 44 120 150 164 258 272 302 378 380 402 414 422	-1164584509692
STPT(12)	1014507167497883441	0 2 30 32 90 92 96 98 156 158 186 188	-486867175410
STPT(10)	1014507469375765301	0 2 96 98 138 140 180 182 276 278	-184989293550
SPT(16)	1014507709003286027	0 6 116 140 144 150 204 234 242 272 326 332 336 360 470 476	54638227176
SPT(16)	1014507822109233457	0 64 106 154 162 220 244 246 250 252 276 334 342 390 432 496	167744174606
SPT(16)	1014508312305008399	0 14 42 54 68 74 92 104 168 180 198 204 218 230 258 272	657939949548
SPT(16)	1014508667042834251	0 12 18 46 82 96 100 112 156 168 172 186 222 250 256 268	1012677775400
SPT(16)	1014509593332637307	0 6 36 42 72 120 146 182 240 276 302 350 380 386 416 422	1938967578456