Prime p₀= 2128416828197360249 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 40 2 118 2 4 2 208 2 10 2 10 2 (?)
a_n: 0 2 42 44 162 164 168 170 378 380 390 392 402 404
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: 404
Found by: Odd-Rod
db: batch=80, k=14, 40 118 4 208 10 10

SPT(16)	2128415617287690781	0 12 58 70 136 166 168 190 198 220 222 252 318 330 376 388	-1210909669468
TPT(14)	2128415683897906937	0 2 30 32 84 86 144 146 162 164 240 242 252 254	-1144299453312
SPT(16)	2128415890338466853	0 38 186 194 234 264 270 284 300 314 320 350 390 398 546 584	-937858893396
SPT(16)	2128416176737274383	0 4 24 114 126 136 150 214 246 310 324 334 346 436 456 460	-651460085866
STPT(10)	2128416288156767417	0 2 12 14 72 74 132 134 144 146	-540040592832
SPT(16)	2128416496562566519	0 22 24 114 150 204 238 240 442 444 478 532 568 658 660 682	-331634793730
TPT(14)	2128417248563106047	0 2 72 74 120 122 150 152 204 206 222 224 252 254	420365745798
SPT(16)	2128417548413120803	0 10 24 66 90 154 166 180 340 354 366 430 454 496 510 520	720215760554
SPT(16)	2128418039333334079	0 42 48 58 90 100 114 118 144 148 162 172 204 214 220 262	1211135973830
SPT(16)	2128418313902983693	0 24 30 34 48 54 70 136 138 204 220 226 240 244 250 274	1485705623444
STPT(10)	2128418317048682507	0 2 30 32 60 62 90 92 120 122	1488851322258