Prime p₀= 2185040792440395257 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 100 2 70 2 76 2 10 2 58 2 16 2 (?)
a_n: 0 2 102 104 174 176 252 254 264 266 324 326 342 344
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: 344
Found by: [SG-FC] hl
db: batch=81, k=14, 100 70 76 10 58 16

SPT(16)	2185039896368819293	0 66 70 84 90 126 144 150 154 160 178 214 220 234 238 304	-896071575964
SPT(16)	2185040079377313307	0 10 34 42 84 90 102 136 270 304 316 322 364 372 396 406	-713063081950
SPT(16)	2185040088312924761	0 2 18 42 86 90 92 98 150 156 158 162 206 230 246 248	-704127470496
TPT(14)	2185040215607655587	0 2 24 26 42 44 84 86 102 104 150 152 210 212	-576832739670
SPT(16)	2185040336836290823	0 16 18 40 58 154 156 190 204 238 240 336 354 376 378 394	-455604104434
STPT(10)	2185040733023891537	0 2 54 56 132 134 210 212 264 266	-59416503720
SPT(16)	2185040813483542019	0 18 68 74 84 152 188 200 252 264 300 368 378 384 434 452	21043146762
SPT(18)	2185041449463762161	0 2 26 42 62 72 132 138 152 186 200 206 266 276 296 312 336 338	657023366904
SPT(16)	2185041948328639249	0 64 70 84 100 120 142 148 174 180 202 222 238 252 258 322	1155888243992
SPT(16)	2185042018957773739	0 64 70 88 100 150 184 232 360 408 442 492 504 522 528 592	1226517378482
SPT(16)	2185042175616702601	0 6 90 96 118 138 148 222 226 300 310 330 352 358 442 448	1383176307344