Prime p₀= 1028616512364009197 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 70 2 70 2 46 2 28 2 40 2 4 2 (?)
a_n: 0 2 72 74 144 146 192 194 222 224 264 266 270 272
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: HenkM
db: batch=76, k=14, 70 70 46 28 40 4

SPT(16)	1028615315558938633	0 66 78 108 114 130 144 148 186 190 204 220 226 256 268 334	-1196805070564
STPT(10)	1028615461411126577	0 2 42 44 102 104 162 164 204 206	-1050952882620
SPT(16)	1028615536781034221	0 6 18 38 42 60 90 108 140 158 188 206 210 230 242 248	-975582974976
SPT(16)	1028615968843098221	0 26 36 66 68 78 98 152 216 270 290 300 302 332 342 368	-543520910976
STPT(10)	1028616038499270041	0 2 6 8 18 20 30 32 36 38	-473864739156
SPT(16)	1028616373455693553	0 6 58 66 70 90 160 166 168 174 244 264 268 276 328 334	-138908315644
SPT(16)	1028616587398654519	0 18 24 28 52 144 168 198 334 364 388 480 504 508 514 532	75034645322
SPT(13)	1028616714904589971	0 18 30 96 138 150 168 186 198 240 306 318 336	202540580774
STPT(10)	1028616909733696397	0 2 72 74 102 104 132 134 204 206	397369687200
SPT(16)	1028617152772035289	0 22 42 64 78 82 102 108 124 130 150 154 168 190 210 232	640408026092
SPT(16)	1028617152885700933	0 70 76 126 136 196 234 240 274 280 318 378 388 438 444 514	640521691736