Prime p₀= 2834999557588507289 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 10 2 106 2 58 2 16 2 118 2 70 2 (?)
a_n: 0 2 12 14 120 122 180 182 198 200 318 320 390 392
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: 392
Found by: [SG-FC] hl
db: batch=82, k=14, 10 106 58 16 118 70

SPT(16)	2834997717464623883	0 18 54 56 60 84 116 120 134 138 170 194 198 200 236 254	-1840123883406
TPT(14)	2834997911793827621	0 2 30 32 48 50 90 92 210 212 216 218 240 242	-1645794679668
SPT(13)	2834998196863641799	0 42 60 84 90 102 132 162 174 180 204 222 264	-1360724865490
SPT(16)	2834998820008696139	0 24 50 60 80 152 194 200 204 210 252 324 344 354 380 404	-737579811150
SPT(16)	2834998971088544783	0 18 50 74 78 80 96 108 176 188 204 206 210 234 266 284	-586499962506
SPT(16)	2834999318527390783	0 4 6 66 88 96 118 220 294 396 418 426 448 508 510 514	-239061116506
SPT(16)	2834999596515633427	0 40 72 114 130 132 154 156 280 282 304 306 322 364 396 436	38927126138
SPT(16)	2834999930886223483	0 6 34 40 66 76 88 96 118 126 138 148 174 180 208 214	373297716194
STPT(10)	2835000197048970317	0 2 54 56 132 134 210 212 264 266	639460463028
STPT(10)	2835000405717419879	0 2 30 32 60 62 90 92 120 122	848128912590
SPT(16)	2835000945516402937	0 10 16 22 30 42 52 66 70 84 94 106 114 120 126 136	1387927895648