Prime p₀= 2599828752893620139 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 46 2 40 2 40 2 46 2 (?)
a_n: 0 2 48 50 90 92 132 134 180 182
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: 182
Found by: JayPi
db: batch=82, k=10, 2 46 2 40 2

SPT(16)	2599826534507781497	0 2 80 84 90 132 182 206 210 234 284 326 332 336 414 416	-2218385838642
SPT(16)	2599826858499806627	0 20 42 66 84 116 126 156 200 230 240 272 290 314 336 356	-1894393813512
STPT(10)	2599827503936433647	0 2 30 32 60 62 90 92 120 122	-1248957186492
STPT(10)	2599827629716156997	0 2 54 56 132 134 210 212 264 266	-1123177463142
SPT(16)	2599827747415510993	0 10 16 28 30 36 118 208 276 366 448 454 456 468 474 484	-1005478109146
SPT(16)	2599827868272821897	0 60 86 126 162 174 200 242 324 366 392 404 440 480 506 566	-884620798242
STPT(10)	2599829640197747987	0 2 12 14 42 44 72 74 84 86	887304127848
SPT(16)	2599829683360028347	0 12 34 70 82 106 114 120 166 172 180 204 216 252 274 286	930466408208
SPT(16)	2599830322425690769	0 72 88 94 108 132 184 202 210 228 280 304 318 324 340 412	1569532070630
SPT(16)	2599830443836686079	0 22 42 48 54 82 112 118 174 180 210 238 244 250 270 292	1690943065940
STPT(10)	2599830459144617507	0 2 12 14 72 74 132 134 144 146	1706250997368