Prime p₀= 2732110068350415419 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 160 2 136 2 28 2 40 2 34 2 58 2 (?)
a_n: 0 2 162 164 300 302 330 332 372 374 408 410 468 470
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: 470
Found by: JayPi
db: batch=82, k=14, 160 136 28 40 34 58

SPT(16)	2732108581271112877	0 16 22 30 40 64 82 84 142 144 162 186 196 204 210 226	-1487079302542
SPT(16)	2732108823817135753	0 28 30 58 70 78 84 174 190 280 286 294 306 334 336 364	-1244533279666
SPT(16)	2732109126795466057	0 24 34 72 84 132 162 184 252 274 304 352 364 402 412 436	-941554949362
SPT(16)	2732109526636148069	0 14 20 24 38 68 108 110 138 140 180 210 224 228 234 248	-541714267350
SPT(16)	2732109790031346007	0 30 40 52 72 76 82 90 142 150 156 160 180 192 202 232	-278319069412
STPT(10)	2732109829762411727	0 2 30 32 72 74 114 116 144 146	-238588003692
SPT(16)	2732110842469444097	0 2 26 60 74 110 126 140 216 230 246 282 296 330 354 356	774119028678
SPT(16)	2732111678869999337	0 6 30 44 60 90 104 114 116 126 140 170 186 200 224 230	1610519583918
SPT(16)	2732111883384416861	0 20 30 38 72 80 108 122 198 212 240 248 282 290 300 320	1815034001442
SPT(18)	2732111943822849947	0 2 72 74 102 132 134 162 170 204 212 240 242 272 300 302 372 374	1875472434528
SPT(16)	2732112154034891077	0 24 30 52 102 112 132 160 186 214 234 244 294 316 322 346	2085684475658