Prime p₀= 820189057667992877 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 10 2 58 2 58 2 10 2 (?)
a_n: 0 2 12 14 72 74 132 134 144 146
All 10 integers p_n = p₀+a_n = p_n-1+d_n are prime and there are no other primes in the gaps.
diameter: 146
Found by: Theadalus
db: batch=73, k=10, 2 10 2 58 2

STPT(10)	820188478090542089	0 2 42 44 90 92 138 140 180 182	-579577450788
SPT(16)	820188620886178217	0 20 60 66 116 144 156 170 186 200 212 240 290 296 336 356	-436781814660
SPT(16)	820188952022297449	0 4 22 34 70 102 142 160 324 342 382 414 450 462 480 484	-105645695428
STPT(10)	820188996783550787	0 2 30 32 42 44 54 56 84 86	-60884442090
SPT(16)	820189005104196599	0 14 68 110 128 138 230 258 260 288 380 390 408 450 504 518	-52563796278
TPT(14)	820189014992280707	0 2 12 14 42 44 54 56 90 92 222 224 270 272	-42675712170
SPT(16)	820189107107988533	0 38 44 48 168 198 264 270 278 284 350 380 500 504 510 548	49439995656
SPT(16)	820189180255578121	0 6 28 42 60 76 136 156 172 192 252 268 286 300 322 328	122587585244
STPT(10)	820189218532155149	0 2 18 20 30 32 42 44 60 62	160864162272
STPT(10)	820189315864267379	0 2 30 32 60 62 90 92 120 122	258196274502
STPT(10)	820189706131206119	0 2 42 44 60 62 78 80 120 122	648463213242