Prime p₀= 2016889418913185891 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 178 2 46 2 10 2 226 2 46 2 40 2 (?)
a_n: 0 2 180 182 228 230 240 242 468 470 516 518 558 560
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: 560
Found by: [SG-2W]Kurzer
db: batch=80, k=14, 178 46 10 226 46 40

STPT(10)	2016886843304514287	0 2 12 14 42 44 72 74 84 86	-2575608671604
SPT(16)	2016887682720065963	0 26 30 66 90 96 98 176 210 288 290 296 320 356 360 386	-1736193119928
SPT(16)	2016887921893070311	0 30 42 130 142 150 172 192 340 360 382 390 402 490 502 532	-1497020115580
STPT(10)	2016888016581914681	0 2 6 8 18 20 30 32 36 38	-1402331271210
SPT(16)	2016888099472335757	0 22 42 64 100 156 180 196 210 226 250 306 342 364 384 406	-1319440850134
TPT(14)	2016889208812645367	0 2 90 92 102 104 144 146 264 266 270 272 324 326	-210100540524
SPT(16)	2016889746247546949	0 8 20 44 48 50 74 128 174 228 252 254 258 282 294 302	327334361058
SPT(16)	2016889793639219297	0 44 50 80 84 134 162 186 350 374 402 452 456 486 492 536	374726033406
SPT(16)	2016890000037144223	0 6 70 88 124 150 166 180 244 258 274 300 336 354 418 424	581123958332
SPT(16)	2016890117410429993	0 28 70 76 114 184 190 216 238 264 270 340 378 384 426 454	698497244102
STPT(10)	2016890728147900019	0 2 48 50 60 62 72 74 120 122	1309234714128