Prime p₀= 915889881749182001 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 28 2 28 2 34 2 40 2 40 2 16 2 (?)
a_n: 0 2 30 32 60 62 96 98 138 140 180 182 198 200
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: 200
Found by: Coleslaw
db: batch=76, k=14, 28 28 34 40 40 16

STPT(10)	915889342933649471	0 2 30 32 78 80 126 128 156 158	-538815532530
TPT(14)	915889576281778337	0 2 30 32 222 224 264 266 282 284 402 404 444 446	-305467403664
TPT(14)	915889608232870727	0 2 42 44 150 152 222 224 240 242 252 254 264 266	-273516311274
SPT(16)	915889689131160677	0 20 42 66 114 206 216 222 224 230 240 332 380 404 426 446	-192618021324
STPT(10)	915889780076677529	0 2 12 14 30 32 48 50 60 62	-101672504472
STPT(10)	915889798955045729	0 2 12 14 90 92 168 170 180 182	-82794136272
SPT(16)	915889883481032021	0 18 78 92 158 162 200 210 290 300 338 342 408 422 482 500	1731850020
SPT(16)	915889911182477059	0 30 58 78 124 174 180 202 240 262 268 318 364 384 412 442	29433295058
SPT(16)	915890032788975709	0 24 48 70 84 90 202 220 222 240 352 358 372 394 418 442	151039793708
STPT(10)	915890140261154171	0 2 36 38 78 80 120 122 156 158	258511972170
STPT(10)	915890278800235157	0 2 42 44 72 74 102 104 144 146	397051053156