Prime p₀= 1585962585083425889 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: emoga
db: batch=78, k=10, 2 16 2 10 2

TPT(14)	1585961934296683289	0 2 132 134 150 152 168 170 192 194 258 260 288 290	-650786742600
SPT(16)	1585962184698291139	0 12 18 28 60 64 82 94 138 150 168 172 204 214 220 232	-400385134750
STPT(10)	1585962207376979951	0 2 30 32 78 80 126 128 156 158	-377706445938
SPT(16)	1585962302592079897	0 52 106 136 150 156 162 172 174 184 190 196 210 240 294 346	-282491345992
SPT(16)	1585962376737027319	0 4 10 24 42 72 78 184 198 304 310 340 358 372 378 382	-208346398570
SPT(16)	1585962543061290701	0 68 86 90 126 168 206 216 290 300 338 380 416 420 438 506	-42022135188
SPT(16)	1585963083317420719	0 18 70 84 190 204 234 238 270 274 304 318 424 438 490 508	498233994830
SPT(18)	1585963392040315609	0 28 54 94 100 138 198 222 244 258 280 304 364 402 408 448 474 502	806956889720
TPT(14)	1585963407275051837	0 2 30 32 42 44 90 92 102 104 114 116 132 134	822191625948
STPT(10)	1585963503048870851	0 2 6 8 48 50 90 92 96 98	917965444962
TPT(14)	1585963575774683891	0 2 30 32 60 62 78 80 156 158 168 170 186 188	990691258002