Prime p₀= 1309514810332315619 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 40 2 46 2 106 2 40 2 58 2 10 2 (?)
a_n: 0 2 42 44 90 92 198 200 240 242 300 302 312 314
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: Dirk Broer
db: batch=77, k=14, 40 46 106 40 58 10

SPT(16)	1309512809954181757	0 30 60 70 106 144 184 220 240 276 316 354 390 400 430 460	-2000378133862
TPT(14)	1309513305128274887	0 2 12 14 42 44 90 92 174 176 222 224 240 242	-1505204040732
SPT(16)	1309513305770058239	0 32 42 54 60 90 102 104 168 170 182 212 218 230 240 272	-1504562257380
SPT(16)	1309513929438372643	0 24 118 126 144 160 208 256 258 306 354 370 388 396 490 514	-880893942976
STPT(10)	1309513982624280581	0 2 30 32 78 80 126 128 156 158	-827708035038
STPT(10)	1309514384484857987	0 2 42 44 72 74 102 104 144 146	-425847457632
STPT(10)	1309515134491206239	0 2 18 20 60 62 102 104 120 122	324158890620
STPT(10)	1309515255565495799	0 2 18 20 30 32 42 44 60 62	445233180180
TPT(14)	1309515370499629019	0 2 42 44 150 152 210 212 240 242 270 272 420 422	560167313400
SPT(16)	1309515551827643417	0 32 54 60 66 80 152 174 242 264 336 350 356 362 384 416	741495327798
TPT(14)	1309515552017599919	0 2 102 104 108 110 150 152 168 170 192 194 222 224	741685284300