Prime p₀= 2726315549949149657 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 28 2 10 2 46 2 22 2 154 2 28 2 (?)
a_n: 0 2 30 32 42 44 90 92 114 116 270 272 300 302
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: 302
Found by: JayPi
db: batch=82, k=14, 28 10 46 22 154 28

STPT(10)	2726313806066810117	0 2 12 14 72 74 132 134 144 146	-1743882339540
SPT(16)	2726313848014605613	0 70 84 90 114 150 216 244 276 304 370 406 430 436 450 520	-1701934544044
STPT(10)	2726314110207764771	0 2 30 32 60 62 90 92 120 122	-1439741384886
SPT(16)	2726315298422793983	0 8 36 48 78 86 90 110 234 254 258 266 296 308 336 344	-251526355674
SPT(18)	2726315300502384523	0 4 6 30 58 64 88 114 130 174 190 216 240 246 274 298 300 304	-249446765134
SPT(16)	2726315325137946631	0 22 46 60 66 78 102 112 126 136 160 172 178 192 216 238	-224811203026
SPT(16)	2726315681424430351	0 22 60 90 126 138 148 172 246 270 280 292 328 358 396 418	131475280694
SPT(16)	2726316042075032191	0 10 52 126 136 142 168 208 240 280 306 312 322 396 438 448	492125882534
STPT(10)	2726316457217921387	0 2 30 32 42 44 54 56 84 86	907268771730
STPT(10)	2726316508366822697	0 2 30 32 42 44 54 56 84 86	958417673040
STPT(10)	2726316550759946189	0 2 12 14 90 92 168 170 180 182	1000810796532