Prime p₀= 2826188891594287601 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 28 2 16 2 106 2 22 2 46 2 196 2 (?)
a_n: 0 2 30 32 48 50 156 158 180 182 228 230 426 428
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: 428
Found by: [SG-2W]Kurzer
db: batch=82, k=14, 28 16 106 22 46 196

STPT(10)	2826188172461170301	0 2 36 38 78 80 120 122 156 158	-719133117300
SPT(16)	2826188188742601373	0 60 64 78 84 120 160 166 168 174 214 250 256 270 274 334	-702851686228
SPT(16)	2826188236929757591	0 12 28 90 100 112 126 210 238 322 336 348 358 420 436 448	-654664530010
STPT(10)	2826188240794634171	0 2 30 32 78 80 126 128 156 158	-650799653430
STPT(10)	2826188577996137351	0 2 6 8 48 50 90 92 96 98	-313598150250
SPT(18)	2826188653655803393	0 34 46 90 124 144 154 166 168 256 258 270 280 300 334 378 390 424	-237938484208
STPT(10)	2826189104834304689	0 2 18 20 30 32 42 44 60 62	213240017088
SPT(16)	2826189201786852481	0 16 28 76 132 138 160 172 306 318 340 346 402 450 462 478	310192564880
STPT(10)	2826189310924589381	0 2 30 32 78 80 126 128 156 158	419330301780
SPT(16)	2826189398108214871	0 22 28 52 78 96 106 118 210 222 232 250 276 300 306 328	506513927270
STPT(10)	2826189753665287979	0 2 12 14 30 32 48 50 60 62	862071000378