Prime p₀= 2718090743059186049 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 16 2 82 2 64 2 70 2 40 2 16 2 (?)
a_n: 0 2 18 20 102 104 168 170 240 242 282 284 300 302
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: 302
Found by: [SG-FC] hl
db: batch=82, k=14, 16 82 64 70 40 16

SPT(16)	2718090092615935243	0 64 70 78 108 174 178 204 334 360 364 430 460 468 474 538	-650443250806
SPT(16)	2718090129667667269	0 22 28 138 162 184 190 258 274 342 348 370 394 504 510 532	-613391518780
SPT(18)	2718090198949267211	0 20 26 42 62 98 132 156 180 188 212 236 270 306 326 342 348 368	-544109918838
SPT(16)	2718090264634251197	0 36 56 126 150 162 164 210 326 372 374 386 410 480 500 536	-478424934852
SPT(16)	2718090454291717943	0 6 18 50 60 110 128 138 218 228 246 296 306 338 350 356	-288767468106
SPT(16)	2718090632663810021	0 2 30 78 128 176 198 216 242 260 282 330 380 428 456 458	-110395376028
SPT(16)	2718090873083639357	0 14 80 120 140 156 182 194 222 234 260 276 296 336 402 416	130024453308
SPT(16)	2718090994637594701	0 10 46 48 118 166 168 228 250 310 312 360 430 432 468 478	251578408652
SPT(16)	2718091124799848683	0 18 30 40 46 64 88 124 270 306 330 348 354 364 376 394	381740662634
STPT(10)	2718091230040773269	0 2 42 44 90 92 138 140 180 182	486981587220
STPT(10)	2718091536086777897	0 2 54 56 72 74 90 92 144 146	793027591848