Prime p₀= 2629037893250059169 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 88 2 10 2 34 2 40 2 40 2 34 2 (?)
a_n: 0 2 90 92 102 104 138 140 180 182 222 224 258 260
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: 260
Found by: [SG-FC] hl
db: batch=82, k=14, 88 10 34 40 40 34

SPT(16)	2629036970112336829	0 28 30 40 42 58 64 78 184 198 204 220 222 232 234 262	-923137722340
STPT(10)	2629037385180201839	0 2 18 20 30 32 42 44 60 62	-508069857330
STPT(10)	2629037398698421559	0 2 30 32 60 62 90 92 120 122	-494551637610
SPT(16)	2629037556624103211	0 30 32 38 86 110 140 152 156 168 198 222 270 276 278 308	-336625955958
SPT(16)	2629037666069872969	0 4 30 94 112 118 142 204 268 330 354 360 378 442 468 472	-227180186200
STPT(10)	2629037778751612409	0 2 18 20 30 32 42 44 60 62	-114498446760
STPT(10)	2629037893250059271	0 2 36 38 78 80 120 122 156 158	102
TPT(14)	2629038341651092409	0 2 150 152 162 164 372 374 390 392 552 554 630 632	448401033240
SPT(16)	2629038849807961891	0 6 42 48 76 88 130 156 172 198 240 252 280 286 322 328	956557902722
SPT(16)	2629039882276420073	0 30 54 66 104 110 138 140 264 266 294 300 338 350 374 404	1989026360904
SPT(16)	2629040135198430977	0 6 30 50 60 80 122 206 210 294 336 356 366 386 410 416	2241948371808