Prime p₀= 2162529300757896569 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 46 2 148 2 52 2 34 2 22 2 28 2 (?)
a_n: 0 2 48 50 198 200 252 254 288 290 312 314 342 344
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: Landjunge
db: batch=81, k=14, 46 148 52 34 22 28

SPT(16)	2162527767157051421	0 18 72 86 110 152 168 180 308 320 336 378 402 416 470 488	-1533600845148
SPT(16)	2162527923164742097	0 24 30 54 70 90 94 100 126 132 136 156 172 196 202 226	-1377593154472
SPT(16)	2162528302778119369	0 18 42 60 100 120 150 184 288 322 352 372 412 430 454 472	-997979777200
SPT(16)	2162528671413541231	0 30 40 132 136 202 210 240 262 292 300 366 370 462 472 502	-629344355338
STPT(10)	2162528822398133879	0 2 18 20 30 32 42 44 60 62	-478359762690
SPT(16)	2162528908431635363	0 8 14 20 44 68 74 78 110 114 120 144 168 174 180 188	-392326261206
SPT(16)	2162529747763373489	0 12 72 78 140 194 204 230 252 278 288 342 404 410 470 482	447005476920
SPT(16)	2162530147403832119	0 20 102 132 140 144 194 224 258 288 338 342 350 380 462 482	846645935550
STPT(10)	2162530490943608909	0 2 12 14 30 32 48 50 60 62	1190185712340
SPT(16)	2162530951626038881	0 10 28 60 72 96 112 118 150 156 172 196 208 240 258 268	1650868142312
TPT(14)	2162530972528172501	0 2 66 68 90 92 168 170 210 212 360 362 456 458	1671770275932