Prime p₀= 1253159307476354657 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 10 2 178 2 40 2 4 2 22 2 64 2 (?)
a_n: 0 2 12 14 192 194 234 236 240 242 264 266 330 332
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: 332
Found by: Theadalus
db: batch=77, k=14, 10 178 40 4 22 64

STPT(10)	1253158061940169211	0 2 30 32 78 80 126 128 156 158	-1245536185446
SPT(16)	1253158162854118217	0 12 54 60 72 74 126 134 162 170 222 224 236 242 284 296	-1144622236440
SPT(16)	1253158195148181397	0 6 40 66 70 162 186 204 262 280 304 396 400 426 460 466	-1112328173260
STPT(10)	1253158406020294589	0 2 12 14 30 32 48 50 60 62	-901456060068
SPT(16)	1253158418247224101	0 16 28 60 82 142 166 298 450 582 606 666 688 720 732 748	-889229130556
SPT(16)	1253158987840894417	0 12 52 64 96 162 174 192 334 352 364 430 462 474 514 526	-319635460240
SPT(16)	1253159480563396061	0 6 8 66 96 110 120 132 236 248 258 272 302 360 362 368	173087041404
STPT(10)	1253159956911390509	0 2 42 44 60 62 78 80 120 122	649435035852
TPT(14)	1253160030420968321	0 2 78 80 108 110 210 212 246 248 366 368 408 410	722944613664
SPT(16)	1253160863948224787	0 24 30 44 50 56 114 132 254 272 330 336 342 356 362 386	1556471870130
STPT(10)	1253161140767257607	0 2 30 32 42 44 54 56 84 86	1833290902950