Prime p₀= 2144115617611168169 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 40 2 46 2 46 2 40 2 (?)
a_n: 0 2 42 44 90 92 138 140 180 182
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: Landjunge
db: batch=80, k=10, 2 40 2 46 2

SPT(13)	2144112798538331587	0 42 102 222 234 240 252 264 270 282 402 462 504	-2819072836582
SPT(16)	2144113812760129513	0 30 34 58 64 76 78 130 144 196 198 210 216 240 244 274	-1804851038656
SPT(16)	2144114785819325227	0 30 54 72 94 126 132 172 264 304 310 342 364 382 406 436	-831791842942
STPT(10)	2144115241272045929	0 2 18 20 30 32 42 44 60 62	-376339122240
SPT(16)	2144115254442805999	0 10 12 60 82 132 150 172 258 280 298 348 370 418 420 430	-363168362170
SPT(16)	2144115500424281987	0 30 32 54 66 84 92 114 122 144 152 170 182 204 206 236	-117186886182
STPT(10)	2144115703259085737	0 2 24 26 42 44 60 62 84 86	85647917568
STPT(10)	2144115873696624557	0 2 30 32 72 74 114 116 144 146	256085456388
SPT(16)	2144115997274507237	0 2 60 72 80 114 122 174 182 234 242 276 284 296 354 356	379663339068
SPT(16)	2144116045511721901	0 22 28 36 70 72 112 126 142 156 196 198 232 240 246 268	427900553732
STPT(10)	2144116370788722131	0 2 6 8 48 50 90 92 96 98	753177553962