Prime p₀= 2856839124867013061 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 94 2 52 2 28 2 136 2 16 2 10 2 (?)
a_n: 0 2 96 98 150 152 180 182 318 320 336 338 348 350
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: 350
Found by: fzs600
db: batch=82, k=14, 94 52 28 136 16 10

SPT(16)	2856837106299697331	0 48 66 110 116 140 152 158 180 186 198 222 228 272 290 338	-2018567315730
SPT(16)	2856837913093924157	0 2 6 14 62 84 90 144 182 236 242 264 312 320 324 326	-1211773088904
SPT(16)	2856837955895877479	0 44 54 92 140 164 170 194 210 234 240 264 312 350 360 404	-1168971135582
STPT(10)	2856838224889178867	0 2 30 32 42 44 54 56 84 86	-899977834194
SPT(16)	2856838292058905053	0 18 58 78 100 118 120 126 190 196 198 216 238 258 298 316	-832808108008
STPT(10)	2856838681859388011	0 2 36 38 78 80 120 122 156 158	-443007625050
TPT(14)	2856839395419722231	0 2 210 212 276 278 288 290 318 320 486 488 498 500	270552709170
STPT(10)	2856839475736000397	0 2 30 32 42 44 54 56 84 86	350868987336
SPT(16)	2856839716088617739	0 12 18 32 42 54 74 132 140 198 218 230 240 254 260 272	591221604678
SPT(16)	2856840014091302219	0 30 32 50 68 78 84 92 120 128 134 144 162 180 182 212	889224289158
SPT(16)	2856840281134973927	0 6 62 72 84 132 146 210 266 330 344 392 404 414 470 476	1156267960866