Prime p₀= 2068610318811121751 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 28 2 34 2 52 2 28 2 58 2 106 2 (?)
a_n: 0 2 30 32 66 68 120 122 150 152 210 212 318 320
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: 320
Found by: Landjunge
db: batch=80, k=14, 28 34 52 28 58 106

TPT(14)	2068609498796746289	0 2 18 20 42 44 102 104 192 194 228 230 270 272	-820014375462
SPT(16)	2068609755807891017	0 12 24 42 50 140 150 182 222 254 264 354 362 380 392 404	-563003230734
TPT(14)	2068609786905692351	0 2 60 62 96 98 126 128 156 158 198 200 228 230	-531905429400
STPT(10)	2068609817040369287	0 2 24 26 42 44 60 62 84 86	-501770752464
SPT(16)	2068610212372056817	0 36 52 76 102 106 136 192 214 270 300 304 330 354 370 406	-106439064934
SPT(16)	2068610215248422539	0 24 28 94 144 154 210 214 228 232 288 298 348 414 418 442	-103562699212
SPT(16)	2068610933539349429	0 2 24 38 54 90 138 140 222 224 272 308 324 338 360 362	614728227678
SPT(16)	2068612009095586859	0 14 32 42 62 90 98 150 182 234 242 270 290 300 318 332	1690284465108
SPT(16)	2068612380324466237	0 6 66 72 106 132 156 192 244 280 304 330 364 370 430 436	2061513344486
STPT(10)	2068612404864824669	0 2 48 50 90 92 132 134 180 182	2086053702918
STPT(10)	2068612610657215277	0 2 54 56 72 74 90 92 144 146	2291846093526