Prime p₀= 916735792502394257 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 52 2 28 2 64 2 10 2 16 2 22 2 (?)
a_n: 0 2 54 56 84 86 150 152 162 164 180 182 204 206
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: 206
Found by: Paul
db: batch=76, k=14, 52 28 64 10 16 22

TPT(14)	916734934871684021	0 2 60 62 120 122 156 158 198 200 216 218 240 242	-857630710236
SPT(16)	916734942753290249	0 8 14 30 54 78 110 134 144 168 200 224 248 264 270 278	-849749104008
SPT(16)	916735097996539933	0 30 46 48 100 124 144 160 264 280 300 324 376 378 394 424	-694505854324
TPT(14)	916735326501783671	0 2 36 38 240 242 306 308 540 542 546 548 576 578	-466000610586
SPT(16)	916735364562238667	0 24 62 84 102 122 132 164 210 242 252 272 290 312 350 374	-427940155590
STPT(10)	916735675196572727	0 2 60 62 72 74 84 86 144 146	-117305821530
STPT(10)	916735813675995749	0 2 18 20 60 62 102 104 120 122	21173601492
SPT(16)	916735867621870591	0 16 18 42 60 70 72 100 168 196 198 208 226 250 252 268	75119476334
SPT(16)	916735916658769871	0 32 42 72 80 98 110 132 206 228 240 258 266 296 306 338	124156375614
SPT(16)	916736215954777021	0 30 42 46 70 88 90 96 172 178 180 198 222 226 238 268	423452382764
STPT(12)	916736243913879239	0 2 30 32 42 44 90 92 102 104 132 134	451411484982