Prime p₀= 2166289546541670299 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 70 2 46 2 46 2 10 2 136 2 40 2 (?)
a_n: 0 2 72 74 120 122 168 170 180 182 318 320 360 362
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: 362
Found by: JayPi
db: batch=81, k=14, 70 46 46 10 136 40

STPT(10)	2166288513692864381	0 2 6 8 18 20 30 32 36 38	-1032848805918
TPT(14)	2166288634325218061	0 2 36 38 66 68 96 98 126 128 138 140 150 152	-912216452238
SPT(16)	2166288668987718029	0 14 62 80 98 128 150 152 210 212 234 264 282 300 348 362	-877553952270
SPT(16)	2166288708928454017	0 6 22 34 46 66 76 94 102 120 130 150 162 174 190 196	-837613216282
TPT(14)	2166288734021582747	0 2 42 44 120 122 150 152 210 212 252 254 300 302	-812520087552
STPT(10)	2166288764258272439	0 2 42 44 60 62 78 80 120 122	-782283397860
STPT(10)	2166289745900633501	0 2 30 32 78 80 126 128 156 158	199358963202
SPT(16)	2166290060562395813	0 30 56 66 126 168 198 206 210 218 248 290 350 360 386 416	514020725514
SPT(16)	2166290143921815761	0 2 6 36 62 72 110 150 152 192 230 240 266 296 300 302	597380145462
SPT(16)	2166290252487300889	0 28 48 54 70 82 88 124 138 174 180 192 208 214 234 262	705945630590
STPT(10)	2166290366201525651	0 2 6 8 48 50 90 92 96 98	819659855352