Prime p₀= 1786240623493357751 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 64 2 40 2 88 2 28 2 76 2 100 2 (?)
a_n: 0 2 66 68 108 110 198 200 228 230 306 308 408 410
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: 410
Found by: CoolAtchOk
db: batch=79, k=14, 64 40 88 28 76 100

STPT(12)	1786239048274113371	0 2 78 80 108 110 180 182 210 212 288 290	-1575219244380
SPT(16)	1786239562135860017	0 42 50 54 86 90 114 132 224 242 266 270 302 306 314 356	-1061357497734
SPT(16)	1786239982335213043	0 34 58 94 114 144 184 238 276 330 370 400 420 456 480 514	-641158144708
TPT(14)	1786240307235640187	0 2 42 44 72 74 294 296 324 326 402 404 450 452	-316257717564
SPT(16)	1786240385573344621	0 100 130 156 160 162 202 258 280 336 376 378 382 408 438 538	-237920013130
SPT(16)	1786240466597674369	0 10 24 84 100 118 130 144 184 198 210 228 244 304 318 328	-156895683382
TPT(14)	1786241011285245209	0 2 48 50 78 80 168 170 198 200 300 302 312 314	387791887458
STPT(10)	1786241305899175427	0 2 30 32 42 44 54 56 84 86	682405817676
SPT(16)	1786241873665078861	0 6 16 22 58 120 148 160 198 210 238 300 336 342 352 358	1250171721110
SPT(16)	1786242072573552947	0 56 66 92 104 132 222 260 306 344 434 462 474 500 510 566	1449080195196
SPT(16)	1786242648604646131	0 22 28 40 42 96 120 130 138 148 172 226 228 240 246 268	2025111288380