Prime p₀= 1424913363400630307 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 10 2 28 2 28 2 76 2 28 2 22 2 (?)
a_n: 0 2 12 14 42 44 72 74 150 152 180 182 204 206
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: 206
Found by: bfromcolo
db: batch=78, k=14, 10 28 28 76 28 22

SPT(18)	1424912002165856761	0 58 72 78 88 100 118 130 142 216 228 240 258 270 280 286 300 358	-1361234773546
STPT(10)	1424912425628981249	0 2 30 32 120 122 210 212 240 242	-937771649058
TPT(14)	1424913147076633631	0 2 18 20 48 50 180 182 228 230 306 308 366 368	-216323996676
SPT(16)	1424913224033739061	0 40 96 142 160 180 226 250 252 276 322 342 360 406 462 502	-139366891246
STPT(10)	1424913236146925477	0 2 30 32 42 44 54 56 84 86	-127253704830
STPT(10)	1424913289973823281	0 2 30 32 78 80 126 128 156 158	-73426807026
SPT(16)	1424913683898000469	0 12 18 82 144 172 192 294 298 400 420 448 510 574 580 592	320497370162
STPT(10)	1424913991755492617	0 2 30 32 42 44 54 56 84 86	628354862310
STPT(10)	1424914298151689297	0 2 30 32 42 44 54 56 84 86	934751058990
STPT(10)	1424916051148125071	0 2 6 8 48 50 90 92 96 98	2687747494764
STPT(10)	1424916280147101419	0 2 18 20 30 32 42 44 60 62	2916746471112