Prime p₀= 2162562851321415209 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 58 2 106 2 40 2 28 2 16 2 10 2 (?)
a_n: 0 2 60 62 168 170 210 212 240 242 258 260 270 272
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: 272
Found by: Landjunge
db: batch=81, k=14, 58 106 40 28 16 10

SPT(16)	2162560665636141079	0 28 58 70 72 130 162 168 184 190 222 280 282 294 324 352	-2185685274130
STPT(10)	2162561755110833267	0 2 42 44 102 104 162 164 204 206	-1096210581942
SPT(13)	2162561997924709627	0 72 96 156 186 306 336 366 486 516 576 600 672	-853396705582
SPT(16)	2162562431501254451	0 6 26 30 152 162 218 296 312 390 446 456 578 582 602 608	-419820160758
SPT(16)	2162562641582737139	0 42 48 78 92 102 104 110 162 168 170 180 194 224 230 272	-209738678070
SPT(16)	2162562803735002633	0 6 96 100 118 130 210 216 220 226 306 318 336 340 430 436	-47586412576
STPT(10)	2162563440512641247	0 2 54 56 72 74 90 92 144 146	589191226038
SPT(16)	2162563454170068361	0 12 18 46 48 52 60 132 136 208 216 220 222 250 256 268	602848653152
STPT(10)	2162563458288098387	0 2 30 32 42 44 54 56 84 86	606966683178
SPT(16)	2162564100015748321	0 18 58 70 90 156 166 168 298 300 310 376 396 408 448 466	1248694333112
SPT(16)	2162564300519905603	0 6 18 76 88 124 154 210 214 270 300 336 348 406 418 424	1449198490394