Prime p₀= 1286505716062147589 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 70 2 64 2 100 2 46 2 70 2 10 2 (?)
a_n: 0 2 72 74 138 140 240 242 288 290 360 362 372 374
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: 374
Found by: Theadalus
db: batch=77, k=14, 70 64 100 46 70 10

SPT(20)	1286504169832299889	0 18 28 34 100 102 142 148 190 214 258 282 324 330 370 372 438 444 454 472	-1546229847700
TPT(14)	1286505059515079177	0 2 54 56 144 146 210 212 252 254 510 512 564 566	-656547068412
STPT(10)	1286505067453134797	0 2 30 32 72 74 114 116 144 146	-648609012792
SPT(16)	1286505138644141047	0 4 22 130 172 202 214 244 282 312 324 354 396 504 522 526	-577418006542
TPT(14)	1286505222540966047	0 2 12 14 90 92 102 104 180 182 222 224 294 296	-493521181542
SPT(16)	1286505428908096427	0 2 24 86 92 104 114 176 240 302 312 324 330 392 414 416	-287154051162
STPT(10)	1286505756879583127	0 2 24 26 42 44 60 62 84 86	40817435538
SPT(16)	1286505857010822809	0 18 30 78 92 102 110 128 144 162 170 180 194 242 254 272	140948675220
SPT(16)	1286505983517113399	0 134 144 164 248 260 284 294 308 318 342 354 438 458 468 602	267454965810
STPT(10)	1286506357167770267	0 2 42 44 72 74 102 104 144 146	641105622678
SPT(16)	1286506931809074541	0 40 52 70 76 82 96 130 132 166 180 186 192 210 222 262	1215746926952