Prime p₀= 2628985962506303327 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 10 2 40 2 16 2 40 2 16 2 40 2 (?)
a_n: 0 2 12 14 54 56 72 74 114 116 132 134 174 176
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: 176
Found by: JayPi
db: batch=82, k=14, 10 40 16 40 16 40

SPT(16)	2628984334302010943	0 18 30 60 96 126 146 156 170 180 200 230 266 296 308 326	-1628204292384
SPT(16)	2628984709413271849	0 22 52 70 94 112 180 204 208 232 300 318 342 360 390 412	-1253093031478
TPT(14)	2628984917656441649	0 2 30 32 48 50 132 134 222 224 270 272 282 284	-1044849861678
STPT(10)	2628985249419796361	0 2 6 8 48 50 90 92 96 98	-713086506966
SPT(16)	2628985465650643607	0 14 30 36 74 132 144 156 200 212 224 282 320 326 342 356	-496855659720
STPT(10)	2628985472637032867	0 2 150 152 180 182 210 212 360 362	-489869270460
STPT(12)	2628985962506303339	0 2 42 44 60 62 102 104 120 122 162 164	12
SPT(16)	2628985983724492339	0 58 78 114 234 238 280 294 304 318 360 364 484 520 540 598	21218189012
STPT(12)	2628986013059199917	0 2 12 14 54 56 90 92 132 134 144 146	50552896590
STPT(10)	2628986361197801777	0 2 30 32 42 44 54 56 84 86	398691498450
TPT(14)	2628986433816693077	0 2 12 14 30 32 264 266 360 362 402 404 414 416	471310389750