Prime p₀= 2540062656300237851 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 28 2 34 2 88 2 10 2 16 2 10 2 (?)
a_n: 0 2 30 32 66 68 156 158 168 170 186 188 198 200
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: 200
Found by: JayPi
db: batch=82, k=14, 28 34 88 10 16 10

SPT(16)	2540061406967670983	0 8 38 50 56 78 90 96 218 224 236 258 264 276 306 314	-1249332566868
SPT(16)	2540061448326604927	0 30 40 46 64 70 84 96 130 142 156 162 180 186 196 226	-1207973632924
SPT(16)	2540061671846126291	0 36 56 78 110 120 138 152 276 290 308 318 350 372 392 428	-984454111560
SPT(16)	2540062090735350553	0 4 40 78 106 120 124 130 144 150 154 168 196 234 270 274	-565564887298
STPT(10)	2540062180486190411	0 2 6 8 18 20 30 32 36 38	-475814047440
SPT(16)	2540062306644311927	0 62 74 92 114 140 162 164 210 212 234 260 282 300 312 374	-349655925924
SPT(16)	2540062954750153993	0 46 54 96 124 138 144 168 196 220 226 240 268 310 318 364	298449916142
SPT(16)	2540063276517973537	0 36 114 144 172 210 214 244 282 312 316 354 382 412 490 526	620217735686
STPT(10)	2540063308229269127	0 2 30 32 42 44 54 56 84 86	651929031276
STPT(10)	2540063456080623659	0 2 18 20 30 32 42 44 60 62	799780385808
SPT(16)	2540063595091843141	0 10 16 28 70 90 150 172 366 388 448 468 510 522 528 538	938791605290