Prime p₀= 2668077969027151391 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 124 2 10 2 28 2 70 2 28 2 136 2 (?)
a_n: 0 2 126 128 138 140 168 170 240 242 270 272 408 410
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: RFGuy_KCCO
db: batch=82, k=14, 124 10 28 70 28 136

STPT(10)	2668076386259009639	0 2 12 14 90 92 168 170 180 182	-1582768141752
SPT(16)	2668076433552259241	0 2 36 56 152 156 176 210 212 246 266 270 366 386 420 422	-1535474892150
SPT(16)	2668076983668014057	0 14 20 44 62 74 102 140 156 194 222 234 252 276 282 296	-985359137334
STPT(10)	2668077209075429477	0 2 30 32 42 44 54 56 84 86	-759951721914
STPT(10)	2668077317739263387	0 2 60 62 72 74 84 86 144 146	-651287888004
TPT(14)	2668077896904517481	0 2 18 20 60 62 66 68 96 98 180 182 198 200	-72122633910
SPT(16)	2668078263940539277	0 36 94 100 106 120 132 144 202 214 226 240 246 252 310 346	294913387886
STPT(10)	2668078597903694219	0 2 168 170 180 182 192 194 360 362	628876542828
SPT(18)	2668078778129618489	0 48 62 74 98 140 158 168 188 234 254 264 282 324 348 360 374 422	809102467098
STPT(10)	2668078805307071249	0 2 42 44 60 62 78 80 120 122	836279919858
SPT(16)	2668079047470184547	0 62 72 86 104 132 134 216 290 372 374 402 420 434 444 506	1078443033156