Prime p₀= 2469537200806808129 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: [SG-FC] hl
db: batch=82, k=10, 2 46 2 40 2

SPT(16)	2469534904309019587	0 10 24 54 124 130 144 154 162 172 186 192 262 292 306 316	-2296497788542
STPT(10)	2469534987808112639	0 2 18 20 30 32 42 44 60 62	-2212998695490
SPT(16)	2469535142997970457	0 14 44 116 132 146 152 156 170 174 180 194 210 282 312 326	-2057808837672
SPT(16)	2469535855211962441	0 10 16 42 46 72 108 132 196 220 256 282 286 312 318 328	-1345594845688
SPT(16)	2469536422268735671	0 36 78 96 118 130 166 172 246 252 288 300 322 340 382 418	-778538072458
TPT(14)	2469537108025714367	0 2 12 14 54 56 60 62 90 92 102 104 222 224	-92781093762
SPT(16)	2469537358595190017	0 12 32 54 102 116 144 192 254 302 330 344 392 414 434 446	157788381888
STPT(10)	2469537582179014547	0 2 30 32 72 74 114 116 144 146	381372206418
SPT(16)	2469537668977921271	0 2 20 38 56 72 78 108 140 170 176 192 210 228 246 248	468171113142
SPT(16)	2469537669165271057	0 12 16 22 34 70 96 132 184 220 246 282 294 300 304 316	468358462928
TPT(14)	2469537774977073377	0 2 42 44 174 176 222 224 264 266 300 302 330 332	574170265248