Prime p₀= 1709317148852953559 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 76 2 28 2 22 2 4 2 10 2 40 2 (?)
a_n: 0 2 78 80 108 110 132 134 138 140 150 152 192 194
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: 194
Found by: CoolAtchOk
db: batch=79, k=14, 76 28 22 4 10 40

TPT(14)	1709314387873840211	0 2 36 38 78 80 120 122 126 128 156 158 228 230	-2760979113348
STPT(10)	1709315027795196317	0 2 60 62 72 74 84 86 144 146	-2121057757242
SPT(16)	1709315592640090499	0 8 84 128 162 168 194 204 218 228 254 260 294 338 414 422	-1556212863060
SPT(16)	1709315756308150673	0 20 26 36 50 114 134 170 180 216 236 300 314 324 330 350	-1392544802886
SPT(16)	1709315769569046497	0 60 66 102 144 150 176 182 204 210 236 242 284 320 326 386	-1379283907062
SPT(16)	1709316979908630077	0 20 42 62 84 86 104 174 272 342 360 362 384 404 426 446	-168944323482
SPT(16)	1709317638099444847	0 24 40 60 66 70 82 154 162 234 246 250 256 276 292 316	489246491288
STPT(10)	1709317746759720467	0 2 30 32 42 44 54 56 84 86	597906766908
SPT(16)	1709317975584536567	0 6 32 50 90 206 242 260 342 360 396 512 552 570 596 602	826731583008
SPT(16)	1709318271376790197	0 6 36 84 90 112 160 186 190 216 264 286 292 340 370 376	1122523836638
SPT(16)	1709318370341563277	0 44 80 102 126 156 170 176 240 246 260 290 314 336 372 416	1221488609718