Prime p₀= 2697063366943168511 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 34 2 82 2 16 2 16 2 10 2 76 2 (?)
a_n: 0 2 36 38 120 122 138 140 156 158 168 170 246 248
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: 248
Found by: JayPi
db: batch=82, k=14, 34 82 16 16 10 76

STPT(10)	2697062874929938787	0 2 24 26 42 44 60 62 84 86	-492013229724
SPT(16)	2697062909543970269	0 8 12 84 110 158 162 200 372 410 414 462 488 560 564 572	-457399198242
STPT(10)	2697062930705752457	0 2 30 32 60 62 90 92 120 122	-436237416054
SPT(16)	2697063095381279167	0 34 46 76 100 102 112 114 142 144 154 156 180 210 222 256	-271561889344
SPT(16)	2697063097710346927	0 6 22 34 42 60 66 90 106 130 136 154 162 174 190 196	-269232821584
SPT(16)	2697063293764520201	0 2 20 26 48 108 132 138 140 146 170 230 252 258 276 278	-73178648310
SPT(16)	2697064097080193531	0 8 26 42 96 132 140 146 342 348 356 392 446 462 480 488	730137025020
STPT(10)	2697064537353967769	0 2 18 20 30 32 42 44 60 62	1170410799258
STPT(10)	2697065097102451259	0 2 30 32 60 62 90 92 120 122	1730159282748
STPT(10)	2697065155272294017	0 2 72 74 162 164 252 254 324 326	1788329125506
SPT(16)	2697065594788081183	0 18 28 34 76 88 94 120 184 210 216 228 270 276 286 304	2227844912672