Prime p₀= 2806551226458912509 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 76 2 70 2 58 2 40 2 46 2 58 2 (?)
a_n: 0 2 78 80 150 152 210 212 252 254 300 302 360 362
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: 362
Found by: RFGuy_KCCO
db: batch=82, k=14, 76 70 58 40 46 58

STPT(10)	2806549325227203341	0 2 30 32 78 80 126 128 156 158	-1901231709168
STPT(10)	2806549414281319097	0 2 30 32 42 44 54 56 84 86	-1812177593412
STPT(10)	2806549691008962077	0 2 90 92 132 134 174 176 264 266	-1535449950432
SPT(16)	2806549866138911059	0 4 60 72 102 118 150 154 198 202 234 250 280 292 348 352	-1360320001450
SPT(16)	2806550434467999853	0 6 46 60 90 96 148 160 216 228 280 286 316 330 370 376	-791990912656
SPT(16)	2806550511870920807	0 14 54 90 104 114 116 150 230 264 266 276 290 326 366 380	-714587991702
STPT(10)	2806551763697213471	0 2 36 38 78 80 120 122 156 158	537238300962
SPT(16)	2806552122651897881	0 20 32 42 56 60 66 192 290 416 422 426 440 450 462 482	896192985372
SPT(16)	2806552662493784641	0 42 52 76 118 120 162 166 192 196 238 240 282 306 316 358	1436034872132
SPT(16)	2806552940039585207	0 50 86 116 204 210 216 300 326 410 416 422 510 540 576 626	1713580672698
STPT(10)	2806552974697727987	0 2 30 32 42 44 54 56 84 86	1748238815478