Prime p₀= 2364133256697035897 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 10 2 196 2 160 2 40 2 46 2 40 2 (?)
a_n: 0 2 12 14 210 212 372 374 414 416 462 464 504 506
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: 506
Found by: ChUcK
db: batch=81, k=14, 10 196 160 40 46 40

STPT(10)	2364132128750516879	0 2 18 20 30 32 42 44 60 62	-1127946519018
SPT(16)	2364132221017922671	0 12 16 46 52 66 70 88 120 138 142 156 162 192 196 208	-1035679113226
SPT(16)	2364132412006381441	0 12 36 60 76 78 88 90 118 120 130 132 148 172 196 208	-844690654456
STPT(10)	2364132732495792539	0 2 78 80 180 182 282 284 360 362	-524201243358
SPT(16)	2364132751304839301	0 2 12 78 80 92 138 140 150 152 198 210 212 278 288 290	-505392196596
STPT(10)	2364133047186019001	0 2 6 8 48 50 90 92 96 98	-209511016896
STPT(10)	2364133381778138807	0 2 42 44 72 74 102 104 144 146	125081102910
SPT(16)	2364134143403039353	0 58 64 78 106 118 168 180 184 196 246 258 286 300 306 364	886706003456
SPT(16)	2364134227801710509	0 8 38 78 80 104 144 150 242 248 288 312 314 354 384 392	971104674612
SPT(16)	2364134342468891819	0 38 50 78 92 140 144 170 282 308 312 360 374 402 414 452	1085771855922
TPT(14)	2364134523168590267	0 2 42 44 60 62 174 176 264 266 270 272 324 326	1266471554370