Prime p₀= 2854682064026690537 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 52 2 34 2 70 2 238 2 16 2 10 2 (?)
a_n: 0 2 54 56 90 92 162 164 402 404 420 422 432 434
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: 434
Found by: [SG-FC] hl
db: batch=82, k=14, 52 34 70 238 16 10

SPT(16)	2854679611492278623	0 14 56 86 96 98 110 144 170 204 216 218 228 258 300 314	-2452534411914
TPT(14)	2854679691252805307	0 2 12 14 90 92 150 152 192 194 204 206 222 224	-2372773885230
STPT(10)	2854679777375812577	0 2 42 44 72 74 102 104 144 146	-2286650877960
STPT(10)	2854680952188559061	0 2 36 38 138 140 240 242 276 278	-1111838131476
SPT(16)	2854681267392302981	0 6 20 42 78 90 92 146 252 306 308 320 356 378 392 398	-796634387556
SPT(16)	2854681990835006461	0 10 28 42 48 52 108 120 148 160 216 220 226 240 258 268	-73191684076
STPT(10)	2854682183661275447	0 2 30 32 42 44 54 56 84 86	119634584910
STPT(10)	2854682380244760017	0 2 30 32 42 44 54 56 84 86	316218069480
STPT(10)	2854682977727569559	0 2 18 20 30 32 42 44 60 62	913700879022
SPT(16)	2854684954402080197	0 2 14 24 54 56 66 110 126 170 180 182 212 222 234 236	2890375389660
STPT(10)	2854685435457143831	0 2 6 8 48 50 90 92 96 98	3371430453294