Prime p₀= 1286572787331299729 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 16 2 10 2 10 2 16 2 (?)
a_n: 0 2 18 20 30 32 42 44 60 62
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: 62
Found by: stoneageman
db: batch=77, k=10, 2 16 2 10 2

STPT(10)	1286571259514614679	0 2 12 14 90 92 168 170 180 182	-1527816685050
STPT(10)	1286571320924893847	0 2 30 32 42 44 54 56 84 86	-1466406405882
STPT(10)	1286571525627447107	0 2 42 44 72 74 102 104 144 146	-1261703852622
SPT(16)	1286571701997628457	0 12 74 104 116 132 186 192 224 230 284 300 312 342 404 416	-1085333671272
SPT(16)	1286571722035503703	0 10 24 34 70 78 154 178 186 210 286 294 330 340 354 364	-1065295796026
SPT(16)	1286572183909799909	0 14 42 80 90 114 134 174 248 288 308 332 342 380 408 422	-603421499820
SPT(16)	1286572827538313087	0 36 42 54 126 156 164 170 246 252 260 290 362 374 380 416	40207013358
SPT(16)	1286573249080251031	0 22 42 76 100 102 118 142 216 240 256 258 282 316 336 358	461748951302
SPT(16)	1286573454956213471	0 56 108 110 126 146 152 182 186 216 222 242 258 260 312 368	667624913742
STPT(10)	1286573481803064779	0 2 18 20 30 32 42 44 60 62	694471765050
SPT(16)	1286573542913100269	0 18 32 48 72 114 132 144 158 170 188 230 254 270 284 302	755581800540