Prime p₀= 2479509820566876047 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 142 2 4 2 58 2 10 2 28 2 10 2 (?)
a_n: 0 2 144 146 150 152 210 212 222 224 252 254 264 266
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: 266
Found by: JayPi
db: batch=82, k=14, 142 4 58 10 28 10

STPT(10)	2479507596201013757	0 2 30 32 42 44 54 56 84 86	-2224365862290
SPT(16)	2479507757436053627	0 12 56 86 110 114 132 156 290 314 332 336 360 390 434 446	-2063130822420
SPT(16)	2479507948958168663	0 6 14 44 66 98 110 188 216 294 306 338 360 390 398 404	-1871608707384
SPT(16)	2479509052598072921	0 18 26 38 60 66 90 96 152 158 182 188 210 222 230 248	-767968803126
STPT(10)	2479509314449770467	0 2 12 14 72 74 132 134 144 146	-506117105580
STPT(10)	2479509452114325467	0 2 42 44 72 74 102 104 144 146	-368452550580
SPT(16)	2479510027518671417	0 26 36 44 74 84 86 92 204 210 212 222 252 260 270 296	206951795370
SPT(16)	2479510207847299799	0 14 68 84 90 110 120 134 138 152 162 182 188 204 258 272	387280423752
SPT(16)	2479510370639187959	0 42 50 72 80 84 90 162 182 254 260 264 272 294 302 344	550072311912
SPT(16)	2479510375168339573	0 16 36 46 54 60 90 156 214 280 310 316 324 334 354 370	554601463526
SPT(16)	2479510566604478591	0 2 38 72 90 108 120 150 230 260 272 290 308 342 378 380	746037602544