Prime p₀= 1007695976594588261 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 178 2 28 2 76 2 28 2 130 2 4 2 (?)
a_n: 0 2 180 182 210 212 288 290 318 320 450 452 456 458
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: 458
Found by: Theadalus
db: batch=76, k=14, 178 28 76 28 130 4

TPT(14)	1007694661031722577	0 2 12 14 42 44 60 62 90 92 114 116 132 134	-1315562865684
SPT(16)	1007694871194760741	0 12 42 48 70 82 88 132 208 252 258 270 292 298 328 340	-1105399827520
STPT(10)	1007695243802748041	0 2 30 32 78 80 126 128 156 158	-732791840220
STPT(10)	1007695300671382577	0 2 42 44 72 74 102 104 144 146	-675923205684
TPT(14)	1007695468417287317	0 2 24 26 54 56 180 182 204 206 252 254 330 332	-508177300944
SPT(16)	1007695777261676383	0 28 34 46 58 84 114 156 238 280 310 336 348 360 366 394	-199332911878
STPT(10)	1007696205956710337	0 2 60 62 72 74 84 86 144 146	229362122076
SPT(16)	1007696312217175387	0 16 24 34 60 72 126 132 154 160 214 226 252 262 270 286	335622587126
STPT(10)	1007696730758415767	0 2 24 26 42 44 60 62 84 86	754163827506
SPT(16)	1007696799622717271	0 6 18 30 36 42 48 56 162 170 176 182 188 200 212 218	823028129010
SPT(16)	1007696938522660559	0 24 68 108 138 150 242 248 264 270 362 374 404 444 488 512	961928072298