Prime p₀= 864436238126025401 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 124 2 28 2 40 2 10 2 46 2 10 2 (?)
a_n: 0 2 126 128 156 158 198 200 210 212 258 260 270 272
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: 272
Found by: RFGuy_KCCO
db: batch=73, k=14, 124 28 40 10 46 10

STPT(10)	864435433829158067	0 2 30 32 60 62 90 92 120 122	-804296867334
STPT(10)	864435453135118367	0 2 24 26 42 44 60 62 84 86	-784990907034
SPT(16)	864435611508537527	0 32 50 56 60 120 134 140 156 162 176 236 240 246 264 296	-626617487874
STPT(10)	864435921723339731	0 2 6 8 108 110 210 212 216 218	-316402685670
SPT(16)	864435998125016123	0 8 14 44 56 74 80 126 248 294 300 318 330 360 366 374	-240001009278
TPT(16)	864436086362665877	0 2 12 14 30 32 210 212 240 242 474 476 504 506 522 524	-151763359524
SPT(16)	864436387433103557	0 42 62 114 120 132 176 272 354 450 494 506 512 564 584 626	149307078156
TPT(14)	864436522485849587	0 2 24 26 30 32 42 44 72 74 150 152 162 164	284359824186
STPT(10)	864436591135994477	0 2 30 32 42 44 54 56 84 86	353009969076
STPT(10)	864437158423137107	0 2 30 32 42 44 54 56 84 86	920297111706
SPT(16)	864437231444522237	0 14 74 80 90 102 144 182 192 230 272 284 294 300 360 374	993318496836