Prime p₀= 2160032000565730409 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 28 2 40 2 76 2 28 2 16 2 40 2 (?)
a_n: 0 2 30 32 72 74 150 152 180 182 198 200 240 242
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: 242
Found by: Landjunge
db: batch=81, k=14, 28 40 76 28 16 40

TPT(14)	2160031173136472189	0 2 12 14 30 32 108 110 222 224 360 362 378 380	-827429258220
SPT(16)	2160031462950439153	0 34 64 70 126 130 144 160 204 220 234 238 294 300 330 364	-537615291256
STPT(10)	2160031554752022629	0 2 18 20 30 32 42 44 60 62	-445813707780
SPT(16)	2160031625078514959	0 18 44 84 122 150 182 198 254 270 302 330 368 408 434 452	-375487215450
STPT(10)	2160031686399199307	0 2 30 32 60 62 90 92 120 122	-314166531102
SPT(16)	2160031919508915157	0 10 24 82 124 142 154 184 192 222 234 252 294 352 366 376	-81056815252
SPT(16)	2160032133653322917	0 32 104 146 176 200 266 296 300 330 396 420 450 492 564 596	133087592508
SPT(16)	2160032245458203507	0 20 26 150 216 234 264 270 320 326 356 374 440 564 570 590	244892473098
SPT(16)	2160032476713329489	0 14 18 38 68 78 144 194 258 308 374 384 414 434 438 452	476147599080
SPT(16)	2160032479356186209	0 48 78 104 108 210 242 294 308 360 392 494 498 524 554 602	478790455800
SPT(16)	2160032560815296911	0 30 72 90 102 150 156 172 216 232 238 286 298 316 358 388	560249566502