Prime p₀= 2959786082922430457 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 52 2 34 2 40 2 16 2 28 2 10 2 (?)
a_n: 0 2 54 56 90 92 132 134 150 152 180 182 192 194
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: 194
Found by: Asgard2022
db: batch=82, k=14, 52 34 40 16 28 10

SPT(16)	2959785088864580597	0 26 90 126 140 150 152 192 290 330 332 342 356 392 456 482	-994057849860
SPT(16)	2959785172110669491	0 18 26 30 32 98 120 122 156 158 180 246 248 252 260 278	-910811760966
SPT(16)	2959785352195118561	0 2 32 80 86 102 140 170 228 258 296 312 318 366 396 398	-730727311896
SPT(16)	2959785719001983077	0 34 70 82 84 96 150 180 196 226 280 292 294 306 342 376	-363920447380
STPT(10)	2959785793677148487	0 2 84 86 102 104 120 122 204 206	-289245281970
SPT(16)	2959785925821269599	0 10 22 48 52 60 64 82 90 108 112 120 124 150 162 172	-157101160858
TPT(14)	2959786164243086051	0 2 18 20 126 128 150 152 156 158 198 200 306 308	81320655594
STPT(10)	2959786267932857549	0 2 18 20 30 32 42 44 60 62	185010427092
SPT(16)	2959786550560567061	0 12 20 42 48 66 68 78 80 90 92 110 116 138 146 158	467638136604
TPT(14)	2959786688082461519	0 2 60 62 120 122 198 200 228 230 252 254 282 284	605160031062
SPT(16)	2959786962963266269	0 30 78 192 198 204 264 282 360 378 438 444 450 564 612 642	880040835812