Prime p₀= 2200787725836517427 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 22 2 4 2 10 2 76 2 40 2 208 2 (?)
a_n: 0 2 24 26 30 32 42 44 120 122 162 164 372 374
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: 374
Found by: JayPi
db: batch=81, k=14, 22 4 10 76 40 208

SPT(16)	2200786306704203327	0 2 30 74 90 104 170 222 272 324 390 404 420 464 492 494	-1419132314100
SPT(16)	2200786652393148577	0 42 46 66 70 76 102 112 150 160 186 192 196 216 220 262	-1073443368850
SPT(16)	2200786693306787857	0 10 42 64 144 160 174 204 220 250 264 280 360 382 414 424	-1032529729570
STPT(10)	2200787136512672297	0 2 42 44 72 74 102 104 144 146	-589323845130
TPT(14)	2200787355942208931	0 2 6 8 18 20 60 62 78 80 120 122 126 128	-369894308496
STPT(10)	2200787698026817811	0 2 6 8 18 20 30 32 36 38	-27809699616
STPT(10)	2200788005442894191	0 2 30 32 78 80 126 128 156 158	279606376764
SPT(16)	2200788095090443667	0 42 44 72 92 116 132 152 204 224 240 264 284 312 314 356	369253926240
SPT(16)	2200788263611414079	0 14 50 72 84 150 158 170 192 204 212 278 290 312 348 362	537774896652
TPT(14)	2200788477016037399	0 2 12 14 108 110 150 152 372 374 462 464 492 494	751179519972
SPT(18)	2200788608749480219	0 18 28 42 52 54 70 84 130 162 208 222 238 240 250 264 274 292	882912962792