Prime p₀= 2712640404863722997 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 40 2 100 2 64 2 28 2 70 2 106 2 (?)
a_n: 0 2 42 44 144 146 210 212 240 242 312 314 420 422
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: 422
Found by: JayPi
db: batch=82, k=14, 40 100 64 28 70 106

TPT(14)	2712639127591439147	0 2 12 14 54 56 90 92 132 134 180 182 204 206	-1277272283850
SPT(16)	2712639303016415767	0 42 46 52 96 142 154 184 192 222 234 280 324 330 334 376	-1101847307230
STPT(10)	2712639400457273471	0 2 30 32 60 62 90 92 120 122	-1004406449526
STPT(10)	2712640166590546271	0 2 30 32 78 80 126 128 156 158	-238273176726
STPT(10)	2712640169143855919	0 2 12 14 90 92 168 170 180 182	-235719867078
SPT(16)	2712640226445606577	0 22 46 70 84 102 126 136 240 250 274 292 306 330 354 376	-178418116420
STPT(10)	2712641002501356131	0 2 6 8 18 20 30 32 36 38	597637633134
SPT(16)	2712641087512662701	0 30 36 38 48 90 120 126 212 218 248 290 300 302 308 338	682648939704
SPT(16)	2712641713228065259	0 60 78 112 144 180 238 244 258 264 322 358 390 424 442 502	1308364342262
SPT(16)	2712641892559623883	0 78 118 130 148 288 294 300 358 364 370 510 528 540 580 658	1487695900886
SPT(16)	2712642101152278863	0 8 18 126 164 170 176 200 204 228 234 240 278 386 396 404	1696288555866