Prime p₀= 1396108457102490869 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 88 2 16 2 22 2 4 2 70 2 76 2 (?)
a_n: 0 2 90 92 108 110 132 134 138 140 210 212 288 290
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: 290
Found by: Fornax
db: batch=77, k=14, 88 16 22 4 70 76

STPT(10)	1396106705944154597	0 2 30 32 42 44 54 56 84 86	-1751158336272
TPT(14)	1396106975659853909	0 2 48 50 180 182 210 212 312 314 420 422 462 464	-1481442636960
SPT(16)	1396107373979303521	0 6 30 60 70 96 118 138 160 180 202 228 238 268 292 298	-1083123187348
STPT(10)	1396107381702351737	0 2 42 44 72 74 102 104 144 146	-1075400139132
TPT(14)	1396107771691922867	0 2 42 44 90 92 144 146 180 182 210 212 282 284	-685410568002
SPT(16)	1396108021681411271	0 18 32 36 56 78 98 132 176 210 230 252 272 276 290 308	-435421079598
STPT(10)	1396108469849043659	0 2 42 44 60 62 78 80 120 122	12746552790
SPT(16)	1396108472303881961	0 8 48 80 98 176 186 198 218 230 240 318 336 368 408 416	15201391092
SPT(16)	1396108499013910819	0 4 42 114 118 124 174 180 202 208 258 264 268 340 378 382	41911419950
SPT(16)	1396108736044397579	0 14 44 54 78 80 152 158 204 210 282 284 308 318 348 362	278941906710
SPT(16)	1396109101886220221	0 8 42 56 86 90 110 128 180 198 218 222 252 266 300 308	644783729352