Prime p₀= 1018300366685904329 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 208 2 178 2 40 2 4 2 22 2 124 2 (?)
a_n: 0 2 210 212 390 392 432 434 438 440 462 464 588 590
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: 590
Found by: mcf2020
db: batch=76, k=14, 208 178 40 4 22 124

STPT(10)	1018299720484433417	0 2 30 32 60 62 90 92 120 122	-646201470912
STPT(10)	1018299900574348211	0 2 30 32 120 122 210 212 240 242	-466111556118
SPT(16)	1018299981910299853	0 30 64 78 90 94 108 118 150 160 174 178 190 204 238 268	-384775604476
SPT(18)	1018300006079370073	0 28 76 108 118 124 156 160 196 288 324 328 360 366 376 408 456 484	-360606534256
SPT(16)	1018300022879097487	0 16 22 90 126 132 162 166 246 250 280 286 322 390 396 412	-343806806842
SPT(16)	1018300265515374637	0 6 24 46 70 82 96 126 130 160 174 186 210 232 250 256	-101170529692
STPT(10)	1018300401466748339	0 2 18 20 60 62 102 104 120 122	34780844010
SPT(16)	1018300455287352521	0 30 62 96 120 128 182 246 362 426 480 488 512 546 578 608	88601448192
SPT(16)	1018300530711033859	0 4 144 168 190 204 220 234 298 312 328 342 364 388 528 532	164025129530
STPT(10)	1018300623680633729	0 2 42 44 60 62 78 80 120 122	256994729400
SPT(16)	1018301219009289707	0 32 60 66 140 170 176 186 230 240 246 276 350 356 384 416	852323385378