Prime p₀= 806810718622512881 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 166 2 220 2 4 2 22 2 4 2 22 2 (?)
a_n: 0 2 168 170 390 392 396 398 420 422 426 428 450 452
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: 452
Found by: GLeeM
db: batch=73, k=14, 166 220 4 22 4 22

STPT(10)	806809822968211499	0 2 48 50 90 92 132 134 180 182	-895654301382
STPT(10)	806810082494911091	0 2 36 38 78 80 120 122 156 158	-636127601790
STPT(10)	806810296447953977	0 2 90 92 132 134 174 176 264 266	-422174558904
SPT(16)	806810328920621099	0 48 50 62 98 120 128 132 140 144 152 174 210 222 224 272	-389701891782
SPT(16)	806810413337399827	0 10 46 52 70 94 136 142 264 270 312 336 354 360 396 406	-305285113054
SPT(16)	806810679652009009	0 18 28 54 70 94 108 150 238 280 294 318 334 360 370 388	-38970503872
STPT(10)	806810940031177127	0 2 54 56 72 74 90 92 144 146	221408664246
STPT(10)	806810967575878607	0 2 24 26 42 44 60 62 84 86	248953365726
SPT(16)	806811039679229791	0 40 42 52 76 90 100 156 202 258 268 282 306 316 318 358	321056716910
SPT(16)	806811385291693687	0 16 76 174 252 310 352 364 372 384 426 484 562 660 720 736	666669180806
SPT(16)	806811398364204197	0 26 84 126 170 174 194 242 264 312 332 336 380 422 480 506	679741691316