Prime p₀= 2657477891094883601 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 4 2 82 2 4 2 40 2 40 2 64 2 (?)
a_n: 0 2 6 8 90 92 96 98 138 140 180 182 246 248
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: 248
Found by: RFGuy_KCCO
db: batch=82, k=14, 4 82 4 40 40 64

SPT(20)	2657475660560556127	0 42 52 66 70 112 154 162 186 196 210 220 244 252 294 336 340 354 364 406	-2230534327474
SPT(16)	2657475776762627461	0 18 40 42 130 132 166 258 280 372 406 408 496 498 520 538	-2114332256140
SPT(16)	2657476356245968381	0 28 46 108 120 130 150 232 276 358 378 388 400 462 480 508	-1534848915220
STPT(10)	2657476927276079849	0 2 48 50 90 92 132 134 180 182	-963818803752
STPT(10)	2657477789026583837	0 2 30 32 42 44 54 56 84 86	-102068299764
STPT(10)	2657477844446454941	0 2 6 8 18 20 30 32 36 38	-46648428660
STPT(10)	2657478129474011021	0 2 6 8 48 50 90 92 96 98	238379127420
TPT(16)	2657478286458960539	0 2 12 14 42 44 108 110 120 122 150 152 168 170 198 200	395364076938
SPT(16)	2657478390570404617	0 6 42 46 52 72 76 102 250 276 280 300 306 310 346 352	499475521016
SPT(16)	2657478449326232057	0 12 14 32 42 60 84 110 114 140 164 182 192 210 212 224	558231348456
TPT(14)	2657478952899137021	0 2 30 32 90 92 156 158 228 230 306 308 420 422	1061804253420