Prime p₀= 2390544680504894567 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 40 2 10 2 28 2 4 2 40 2 58 2 (?)
a_n: 0 2 42 44 54 56 84 86 90 92 132 134 192 194
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: suriv
db: batch=81, k=14, 40 10 28 4 40 58

TPT(14)	2390543141050559897	0 2 132 134 180 182 210 212 342 344 372 374 384 386	-1539454334670
TPT(14)	2390543207351302151	0 2 30 32 36 38 78 80 360 362 456 458 498 500	-1473153592416
SPT(16)	2390543773663979597	0 2 30 72 96 110 126 144 152 170 186 200 224 266 294 296	-906840914970
TPT(14)	2390544307008881171	0 2 36 38 108 110 126 128 150 152 156 158 198 200	-373496013396
STPT(10)	2390544329194926629	0 2 48 50 90 92 132 134 180 182	-351309967938
SPT(16)	2390544430281166787	0 6 12 50 62 84 144 146 180 182 242 264 276 314 320 326	-250223727780
SPT(16)	2390544821522604739	0 48 72 94 100 108 132 172 180 220 244 252 258 280 304 352	141017710172
SPT(16)	2390544912180659921	0 36 78 162 168 180 186 192 296 302 308 320 326 410 452 488	231675765354
SPT(16)	2390545488831024523	0 18 76 84 88 138 154 246 298 390 406 456 460 468 526 544	808326129956
SPT(16)	2390545851722842301	0 8 42 50 68 90 122 180 230 288 320 342 360 368 402 410	1171217947734
SPT(16)	2390546005879997879	0 20 50 68 90 92 128 194 288 354 390 392 414 432 462 482	1325375103312