Prime p₀= 2419336395455930129 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 10 2 76 2 76 2 10 2 (?)
a_n: 0 2 12 14 90 92 168 170 180 182
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 10 2 76 2

SPT(16)	2419335278701677773	0 24 26 50 54 98 120 180 194 254 276 320 324 348 350 374	-1116754252356
SPT(16)	2419335551553446131	0 12 90 112 118 180 238 240 268 270 328 390 396 418 496 508	-843902483998
STPT(10)	2419335891108098771	0 2 6 8 48 50 90 92 96 98	-504347831358
SPT(16)	2419336022007351631	0 6 48 66 70 90 100 108 178 186 196 216 220 238 280 286	-373448578498
SPT(16)	2419336185351960841	0 18 22 30 40 106 156 180 238 262 312 378 388 396 400 418	-210103969288
STPT(10)	2419336282266164867	0 2 12 14 72 74 132 134 144 146	-113189765262
SPT(16)	2419336530438872419	0 48 58 72 90 102 162 172 228 238 298 310 328 342 352 400	134982942290
SPT(16)	2419337107487705809	0 4 34 52 70 112 144 172 210 238 270 312 330 348 378 382	712031775680
SPT(16)	2419337486117838001	0 6 18 46 52 132 148 150 238 240 256 336 342 370 382 388	1090661907872
STPT(10)	2419337825938490447	0 2 12 14 42 44 72 74 84 86	1430482560318
SPT(16)	2419337927010495593	0 18 60 84 98 114 138 170 198 230 254 270 284 308 350 368	1531554565464