Prime p₀= 976212512282658689 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 76 2 82 2 88 2 34 2 82 2 46 2 (?)
a_n: 0 2 78 80 162 164 252 254 288 290 372 374 420 422
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: 422
Found by: stoneageman
db: batch=76, k=14, 76 82 88 34 82 46

STPT(10)	976209508815025337	0 2 30 32 72 74 114 116 144 146	-3003467633352
STPT(10)	976210143136006979	0 2 12 14 90 92 168 170 180 182	-2369146651710
SPT(16)	976210943675863139	0 2 14 24 72 80 104 122 192 210 234 242 290 300 312 314	-1568606795550
SPT(16)	976211355230501149	0 28 42 70 82 88 100 148 222 270 282 288 300 328 342 370	-1157052157540
STPT(10)	976211958092506979	0 2 18 20 30 32 42 44 60 62	-554190151710
SPT(13)	976212391350398689	0 42 60 84 90 120 132 144 174 180 204 222 264	-120932260000
SPT(16)	976212811480372303	0 60 76 78 90 94 166 190 234 258 330 334 346 348 364 424	299197713614
STPT(10)	976212887777822309	0 2 18 20 30 32 42 44 60 62	375495163620
SPT(16)	976212917654525891	0 32 42 98 110 132 152 162 236 246 266 288 300 356 366 398	405371867202
STPT(10)	976213624982559167	0 2 12 14 42 44 72 74 84 86	1112699900478
STPT(10)	976213734316621811	0 2 6 8 48 50 90 92 96 98	1222033963122