Prime p₀= 854115970473067661 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 184 2 28 2 10 2 10 2 16 2 40 2 (?)
a_n: 0 2 186 188 216 218 228 230 240 242 258 260 300 302
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: 302
Found by: RFGuy_KCCO
db: batch=73, k=14, 184 28 10 10 16 40

SPT(16)	854114448050476957	0 36 66 82 84 112 154 214 312 372 414 442 444 460 490 526	-1522422590704
TPT(14)	854114481100131659	0 2 18 20 42 44 78 80 132 134 270 272 300 302	-1489372936002
SPT(16)	854114726820143587	0 10 24 52 66 100 126 166 210 250 276 310 324 352 366 376	-1243652924074
STPT(12)	854114745628275947	0 2 12 14 54 56 60 62 102 104 114 116	-1224844791714
SPT(16)	854114994002724763	0 36 46 100 148 154 166 168 226 228 240 246 294 348 358 394	-976470342898
SPT(16)	854115060759263977	0 10 22 42 70 126 150 186 220 256 280 336 364 384 396 406	-909713803684
STPT(10)	854116027166630297	0 2 24 26 42 44 60 62 84 86	56693562636
SPT(16)	854116975087709573	0 44 50 60 114 126 158 170 174 186 218 230 284 294 300 344	1004614641912
STPT(10)	854117010997184507	0 2 60 62 72 74 84 86 144 146	1040524116846
STPT(10)	854117096395524287	0 2 42 44 72 74 102 104 144 146	1125922456626
SPT(16)	854117119213389841	0 10 12 42 90 102 150 160 222 232 280 292 340 370 372 382	1148740322180