Prime p₀= 741129187888662257 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 22 2 16 2 16 2 22 2 (?)
a_n: 0 2 24 26 42 44 60 62 84 86
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: 86
Found by: Theadalus
db: batch=73, k=10, 2 22 2 16 2

SPT(16)	741127509164779801	0 10 18 52 60 70 72 82 198 208 210 220 228 262 270 280	-1678723882456
SPT(16)	741127685693684669	0 74 84 98 102 144 164 188 294 318 338 380 384 398 408 482	-1502194977588
SPT(16)	741127718037044759	0 44 102 120 192 200 212 218 234 240 252 260 332 350 408 452	-1469851617498
STPT(10)	741127919775492671	0 2 36 38 78 80 120 122 156 158	-1268113169586
SPT(16)	741128447751429541	0 16 58 66 82 88 100 112 126 138 150 156 172 180 222 238	-740137232716
STPT(10)	741128782299317297	0 2 30 32 42 44 54 56 84 86	-405589344960
SPT(16)	741129282810700447	0 16 46 60 66 82 96 102 250 256 270 286 292 306 336 352	94922038190
STPT(10)	741129506507734007	0 2 42 44 72 74 102 104 144 146	318619071750
SPT(16)	741129564479221657	0 12 34 42 60 120 124 190 276 342 346 406 424 432 454 466	376590559400
STPT(10)	741129678206419919	0 2 18 20 30 32 42 44 60 62	490317757662
STPT(10)	741129992885544761	0 2 36 38 78 80 120 122 156 158	804996882504