Prime p₀= 2662844800475603459 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 70 2 124 2 10 2 28 2 16 2 40 2 (?)
a_n: 0 2 72 74 198 200 210 212 240 242 258 260 300 302
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: biodoc
db: batch=82, k=14, 70 124 10 28 16 40

SPT(16)	2662843753812872087	0 20 84 134 174 210 332 350 384 402 524 560 600 650 714 734	-1046662731372
SPT(16)	2662843902331326349	0 10 12 52 58 72 82 124 168 210 220 234 240 280 282 292	-898144277110
SPT(16)	2662844236767437461	0 12 16 18 30 96 100 126 142 168 172 238 250 252 256 268	-563708165998
TPT(14)	2662844458323261827	0 2 180 182 192 194 240 242 270 272 324 326 354 356	-342152341632
SPT(16)	2662844550948865873	0 6 10 36 90 106 126 160 204 238 258 274 328 354 358 364	-249526737586
SPT(16)	2662844764301096597	0 6 36 80 120 140 144 164 312 332 336 356 396 440 470 476	-36174506862
SPT(16)	2662845016279049939	0 12 38 54 68 98 120 128 204 212 234 264 278 294 320 332	215803446480
STPT(10)	2662845107275196297	0 2 24 26 42 44 60 62 84 86	306799592838
SPT(16)	2662845140029167941	0 2 12 38 72 102 116 128 150 162 176 206 240 266 276 278	339553564482
SPT(16)	2662845303080581901	0 36 38 50 62 120 132 162 176 206 218 276 288 300 302 338	502604978442
TPT(14)	2662845646387490621	0 2 30 32 66 68 78 80 120 122 180 182 210 212	845911887162