Prime p₀= 2170376047539159527 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 10 2 160 2 88 2 4 2 28 2 10 2 (?)
a_n: 0 2 12 14 174 176 264 266 270 272 300 302 312 314
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: 314
Found by: [SG-FC] hl
db: batch=81, k=14, 10 160 88 4 28 10

SPT(16)	2170374330312613291	0 10 58 88 96 100 126 132 136 142 168 172 180 210 258 268	-1717226546236
SPT(16)	2170374514289346119	0 2 14 30 44 54 68 72 80 84 98 108 122 138 150 152	-1533249813408
STPT(10)	2170374564097185959	0 2 42 44 60 62 78 80 120 122	-1483441973568
SPT(16)	2170374813049654423	0 24 28 34 46 60 130 148 156 174 244 258 270 276 280 304	-1234489505104
SPT(16)	2170374915055514743	0 24 34 36 46 90 118 130 234 246 274 318 328 330 340 364	-1132483644784
SPT(16)	2170375418778541523	0 8 26 38 44 50 66 104 240 278 294 300 306 318 336 344	-628760618004
SPT(16)	2170376073047304301	0 40 76 88 102 160 226 268 270 312 378 436 450 462 498 538	25508144774
SPT(16)	2170376107489815529	0 22 30 40 78 82 154 160 162 168 240 244 282 292 300 322	59950656002
STPT(10)	2170376167778699129	0 2 18 20 30 32 42 44 60 62	120239539602
TPT(16)	2170376636203478951	0 2 66 68 120 122 180 182 288 290 306 308 378 380 420 422	588664319424
SPT(16)	2170376642372040827	0 6 36 44 90 96 110 132 134 156 170 176 222 230 260 266	594832881300