Prime p₀= 927658757877634901 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 16 2 40 2 34 2 40 2 10 2 28 2 (?)
a_n: 0 2 18 20 60 62 96 98 138 140 150 152 180 182
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: 182
Found by: mikey
db: batch=76, k=14, 16 40 34 40 10 28

SPT(16)	927658293591371989	0 12 48 52 54 64 70 78 124 132 138 148 150 154 190 202	-464286262912
STPT(10)	927658346869973837	0 2 30 32 42 44 54 56 84 86	-411007661064
SPT(16)	927658520088548987	0 30 32 36 90 96 104 134 222 252 260 266 320 324 326 356	-237789085914
STPT(10)	927658550380251617	0 2 54 56 72 74 90 92 144 146	-207497383284
SPT(16)	927658643834127851	0 20 32 42 48 50 92 122 126 156 198 200 206 216 228 248	-114043507050
STPT(10)	927658724999860289	0 2 42 44 60 62 78 80 120 122	-32877774612
SPT(16)	927658778070587851	0 18 172 198 222 228 270 280 348 358 400 406 430 456 610 628	20192952950
SPT(16)	927658844576608007	0 26 44 110 132 146 156 194 252 290 300 314 336 402 420 446	86698973106
STPT(10)	927659297351306699	0 2 12 14 90 92 168 170 180 182	539473671798
SPT(16)	927659370955753841	0 6 60 80 86 98 138 146 150 158 198 210 216 236 290 296	613078118940
SPT(16)	927659686874232721	0 30 36 100 118 180 208 226 342 360 388 450 468 532 538 568	928996597820