Prime p₀= 779080714367436599 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 16 2 10 2 10 2 16 2 (?)
a_n: 0 2 18 20 30 32 42 44 60 62
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: 62
Found by: Laurent Cheylat
db: batch=73, k=10, 2 16 2 10 2

SPT(16)	779078719622396579	0 2 24 80 170 180 210 222 392 404 434 444 534 590 612 614	-1994745040020
TPT(14)	779078814972699077	0 2 72 74 114 116 132 134 144 146 222 224 270 272	-1899394737522
STPT(10)	779079180829743551	0 2 6 8 18 20 30 32 36 38	-1533537693048
SPT(16)	779079422689290743	0 54 86 104 128 146 186 224 270 308 348 366 390 408 440 494	-1291678145856
SPT(16)	779080019984442217	0 4 16 42 52 54 60 84 142 166 172 174 184 210 222 226	-694382994382
TPT(14)	779080224011045681	0 2 48 50 90 92 138 140 156 158 270 272 306 308	-490356390918
STPT(10)	779080720815286991	0 2 6 8 48 50 90 92 96 98	6447850392
STPT(10)	779080793983943987	0 2 30 32 42 44 54 56 84 86	79616507388
SPT(16)	779080902947268191	0 20 26 30 32 56 78 92 96 110 132 156 158 162 168 188	188579831592
SPT(16)	779081611066955213	0 6 56 68 98 140 156 180 224 248 264 306 336 348 398 404	896699518614
SPT(16)	779081649907117621	0 42 52 70 72 82 96 120 142 166 180 190 192 210 220 262	935539681022