Prime p₀= 2539658070074129729 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 16 2 40 2 40 2 28 2 4 2 40 2 (?)
a_n: 0 2 18 20 60 62 102 104 132 134 138 140 180 182
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: 182
Found by: JayPi
db: batch=82, k=14, 16 40 40 28 4 40

SPT(16)	2539655953380836863	0 34 40 46 60 66 114 126 184 196 244 250 264 270 276 310	-2116693292866
STPT(10)	2539656010395277379	0 2 12 14 90 92 168 170 180 182	-2059678852350
STPT(10)	2539656064076991911	0 2 6 8 18 20 30 32 36 38	-2005997137818
STPT(10)	2539656725380829669	0 2 18 20 30 32 42 44 60 62	-1344693300060
STPT(10)	2539657609740567221	0 2 6 8 48 50 90 92 96 98	-460333562508
TPT(14)	2539657884687750599	0 2 78 80 90 92 168 170 192 194 210 212 222 224	-185386379130
SPT(16)	2539658399693313607	0 34 42 60 64 132 144 190 216 262 274 342 346 364 372 406	329619183878
SPT(16)	2539658522929522583	0 26 80 120 128 156 168 180 194 206 218 246 254 294 348 374	452855392854
SPT(16)	2539658788872836249	0 42 68 78 90 98 120 150 152 182 204 212 224 234 260 302	718798706520
TPT(14)	2539658810800242809	0 2 42 44 108 110 138 140 150 152 270 272 318 320	740726113080
STPT(10)	2539658974386413147	0 2 30 32 72 74 114 116 144 146	904312283418