Prime p₀= 2086104745167761321 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 124 2 40 2 40 2 46 2 40 2 88 2 (?)
a_n: 0 2 126 128 168 170 210 212 258 260 300 302 390 392
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: 392
Found by: Daniel
db: batch=80, k=14, 124 40 40 46 40 88

STPT(10)	2086103377245359831	0 2 36 38 168 170 300 302 336 338	-1367922401490
STPT(10)	2086103675512550117	0 2 54 56 72 74 90 92 144 146	-1069655211204
SPT(16)	2086103732610237541	0 10 12 60 66 88 102 106 192 196 210 232 238 286 288 298	-1012557523780
TPT(14)	2086103818026684887	0 2 54 56 60 62 90 92 252 254 270 272 294 296	-927141076434
STPT(10)	2086103846540193437	0 2 24 26 42 44 60 62 84 86	-898627567884
SPT(16)	2086103958212210047	0 4 70 100 156 160 166 216 220 270 276 280 336 366 432 436	-786955551274
TPT(14)	2086104914361742829	0 2 60 62 90 92 102 104 120 122 162 164 168 170	169193981508
STPT(10)	2086105491275167259	0 2 18 20 30 32 42 44 60 62	746107405938
SPT(16)	2086105562115012481	0 18 60 66 70 72 96 102 106 112 136 138 142 148 190 208	816947251160
SPT(16)	2086105576238831243	0 26 90 110 140 186 204 210 284 290 308 354 384 404 468 494	831071069922
STPT(10)	2086105773479738201	0 2 36 38 78 80 120 122 156 158	1028311976880