Prime p₀= 2823715765407737111 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 4 2 10 2 10 2 4 2 (?)
a_n: 0 2 6 8 18 20 30 32 36 38
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: 38
Found by: [SG-FC] hl
db: batch=82, k=10, 2 4 2 10 2

SPT(16)	2823714424951622431	0 82 102 108 126 160 172 186 202 216 228 262 280 286 306 388	-1340456114680
TPT(14)	2823714449150809127	0 2 12 14 114 116 174 176 210 212 300 302 312 314	-1316256927984
STPT(10)	2823714469313727971	0 2 36 38 78 80 120 122 156 158	-1296094009140
TPT(14)	2823714595838184197	0 2 42 44 84 86 114 116 144 146 294 296 354 356	-1169569552914
TPT(14)	2823714718590036527	0 2 12 14 90 92 114 116 222 224 354 356 390 392	-1046817700584
STPT(10)	2823714899514032891	0 2 6 8 48 50 90 92 96 98	-865893704220
TPT(14)	2823716813659928477	0 2 30 32 54 56 102 104 210 212 264 266 300 302	1048252191366
TPT(14)	2823716940153825929	0 2 90 92 108 110 120 122 180 182 222 224 378 380	1174746088818
SPT(13)	2823717055062226747	0 6 12 30 72 102 156 210 240 282 300 306 312	1289654489636
STPT(10)	2823717281497963547	0 2 30 32 72 74 114 116 144 146	1516090226436
SPT(16)	2823717313304330489	0 12 50 60 92 102 128 132 140 144 170 180 212 222 260 272	1547896593378