Prime p₀= 2926652569382777507 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 70 2 10 2 28 2 274 2 58 2 40 2 (?)
a_n: 0 2 72 74 84 86 114 116 390 392 450 452 492 494
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: 494
Found by: Landjunge
db: batch=82, k=14, 70 10 28 274 58 40

STPT(10)	2926650615655605197	0 2 60 62 72 74 84 86 144 146	-1953727172310
STPT(10)	2926650636054480857	0 2 30 32 42 44 54 56 84 86	-1933328296650
STPT(10)	2926651320632285957	0 2 60 62 72 74 84 86 144 146	-1248750491550
STPT(10)	2926651386500755061	0 2 36 38 78 80 120 122 156 158	-1182882022446
SPT(16)	2926651503620931259	0 10 70 120 160 162 174 192 232 250 262 264 304 354 414 424	-1065761846248
STPT(10)	2926652193982132667	0 2 30 32 102 104 174 176 204 206	-375400644840
SPT(16)	2926652751320085817	0 12 30 40 42 72 112 120 142 150 190 220 222 232 250 262	181937308310
SPT(16)	2926652944825074583	0 6 18 28 34 60 70 88 126 144 154 180 186 196 208 214	375442297076
SPT(16)	2926653085897932571	0 42 48 70 82 162 202 252 256 306 346 426 438 460 466 508	516515155064
SPT(16)	2926653134855476231	0 6 10 66 78 126 130 160 288 318 322 370 382 438 442 448	565472698724
STPT(10)	2926653289856894831	0 2 36 38 78 80 120 122 156 158	720474117324