Prime p₀= 800463678522651461 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 34 2 130 2 130 2 34 2 (?)
a_n: 0 2 36 38 168 170 300 302 336 338
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: 338
Found by: amazing
db: batch=73, k=10, 2 34 2 130 2

SPT(16)	800462698612029251	0 18 38 42 56 68 122 138 140 156 210 222 236 240 260 278	-979910622210
SPT(13)	800462913609968857	0 6 24 36 84 96 150 204 216 264 276 294 300	-764912682604
SPT(16)	800463144852017921	0 8 30 50 60 102 120 140 198 218 236 278 288 308 330 338	-533670633540
STPT(10)	800463439957878791	0 2 6 8 48 50 90 92 96 98	-238564772670
SPT(16)	800463493554390439	0 30 34 114 142 144 190 198 244 252 298 300 328 408 412 442	-184968261022
SPT(16)	800463505813621781	0 42 68 80 96 108 146 182 216 252 290 302 318 330 356 398	-172709029680
STPT(10)	800463988855768877	0 2 54 56 132 134 210 212 264 266	310333117416
STPT(10)	800464626370424879	0 2 42 44 90 92 138 140 180 182	947847773418
SPT(16)	800464926193525433	0 18 36 44 68 74 80 84 110 114 120 126 150 158 176 194	1247670873972
STPT(10)	800465024174670521	0 2 6 8 18 20 30 32 36 38	1345652019060
SPT(16)	800465050405414441	0 40 42 102 108 168 238 246 262 270 340 400 406 466 468 508	1371882762980