Prime p₀= 1624089069625421951 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 166 2 100 2 64 2 22 2 34 2 22 2 (?)
a_n: 0 2 168 170 270 272 336 338 360 362 396 398 420 422
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: 422
Found by: biodoc
db: batch=78, k=14, 166 100 64 22 34 22

SPT(16)	1624088315603359499	0 12 90 110 144 150 158 164 168 174 182 188 222 242 320 332	-754022062452
SPT(13)	1624088658548660783	0 6 36 96 138 156 168 180 198 240 300 330 336	-411076761168
STPT(10)	1624088663736086069	0 2 18 20 30 32 42 44 60 62	-405889335882
STPT(10)	1624088753951026799	0 2 42 44 60 62 78 80 120 122	-315674395152
SPT(16)	1624089001993673717	0 14 20 24 74 80 132 140 144 152 204 210 260 264 270 284	-67631748234
SPT(16)	1624089003618445561	0 30 52 108 136 208 222 240 358 376 390 462 490 546 568 598	-66006976390
STPT(10)	1624089107054673377	0 2 84 86 222 224 360 362 444 446	37429251426
STPT(12)	1624089255927557987	0 2 12 14 42 44 162 164 192 194 204 206	186302136036
SPT(20)	1624089307351547053	0 34 54 70 90 108 118 124 180 208 210 238 294 300 310 328 348 364 384 418	237726125102
STPT(10)	1624089402318505877	0 2 30 32 42 44 54 56 84 86	332693083926
SPT(16)	1624089477110664391	0 16 18 22 88 90 102 142 246 286 298 300 366 370 372 388	407485242440