Prime p₀= 2625171081028825661 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 94 2 22 2 4 2 10 2 70 2 46 2 (?)
a_n: 0 2 96 98 120 122 126 128 138 140 210 212 258 260
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: 260
Found by: Dirk Broer
db: batch=82, k=14, 94 22 4 10 70 46

SPT(16)	2625168601437446387	0 66 110 126 156 164 234 246 254 266 336 344 374 390 434 500	-2479591379274
SPT(16)	2625168818340961237	0 30 36 46 52 60 70 100 156 186 196 204 210 220 226 256	-2262687864424
STPT(10)	2625169100007223571	0 2 6 8 48 50 90 92 96 98	-1981021602090
SPT(16)	2625170407071826709	0 44 54 98 102 110 128 134 138 144 162 170 174 218 228 272	-673956998952
STPT(10)	2625170539603596041	0 2 30 32 78 80 126 128 156 158	-541425229620
STPT(10)	2625170963410510181	0 2 6 8 18 20 30 32 36 38	-117618315480
SPT(16)	2625172240184849569	0 4 18 30 42 58 118 142 240 264 324 340 352 364 378 382	1159156023908
STPT(10)	2625172294212847241	0 2 36 38 78 80 120 122 156 158	1213184021580
SPT(16)	2625172529093133421	0 12 30 52 70 72 162 180 220 238 328 330 348 370 388 400	1448064307760
STPT(10)	2625172599959866667	0 2 60 62 72 74 84 86 144 146	1518931041006
STPT(10)	2625172667794986887	0 2 30 32 42 44 54 56 84 86	1586766161226