Prime p₀= 2577849947635473671 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 64 2 28 2 88 2 130 2 88 2 70 2 (?)
a_n: 0 2 66 68 96 98 186 188 318 320 408 410 480 482
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: 482
Found by: RFGuy_KCCO
db: batch=82, k=14, 64 28 88 130 88 70

STPT(10)	2577848948010246707	0 2 30 32 42 44 54 56 84 86	-999625226964
SPT(16)	2577848975902768891	0 16 46 52 66 72 82 88 120 126 136 142 156 162 192 208	-971732704780
TPT(14)	2577849450016283657	0 2 30 32 84 86 132 134 222 224 294 296 300 302	-497619190014
SPT(16)	2577849535891087483	0 4 34 46 48 76 88 90 124 126 138 166 168 180 210 214	-411744386188
SPT(16)	2577849689768847803	0 14 38 44 60 80 108 138 170 200 228 248 264 270 294 308	-257866625868
SPT(16)	2577849771351854677	0 12 52 66 72 82 144 184 252 292 354 364 370 384 424 436	-176283618994
SPT(16)	2577850081125172159	0 22 94 124 144 150 190 232 252 294 334 340 360 390 462 484	133489698488
STPT(10)	2577850312780094897	0 2 30 32 42 44 54 56 84 86	365144621226
SPT(16)	2577850393239181561	0 22 28 36 48 78 90 102 106 118 130 160 172 180 186 208	445603707890
SPT(16)	2577851287922882339	0 14 20 60 84 102 114 132 140 158 170 188 212 252 258 272	1340287408668
SPT(16)	2577852053868286477	0 16 46 72 90 94 112 132 154 174 192 196 214 240 270 286	2106232812806