Prime p₀= 1368333209610416237 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: stoneageman
db: batch=77, k=10, 2 22 2 16 2

STPT(10)	1368332393019162017	0 2 42 44 72 74 102 104 144 146	-816591254220
STPT(10)	1368332668950391559	0 2 48 50 60 62 72 74 120 122	-540660024678
SPT(16)	1368332850968606483	0 44 50 56 78 108 120 176 198 254 266 296 318 324 330 374	-358641809754
SPT(16)	1368332933439727561	0 12 22 42 48 82 106 148 150 192 216 250 256 276 286 298	-276170688676
SPT(16)	1368333019615478129	0 2 14 48 54 98 104 110 192 198 204 248 254 288 300 302	-189994938108
TPT(14)	1368333169728375161	0 2 78 80 108 110 150 152 180 182 306 308 318 320	-39882041076
STPT(10)	1368333456964142087	0 2 12 14 42 44 72 74 84 86	247353725850
SPT(16)	1368333791262529103	0 24 26 38 56 68 96 126 158 188 216 228 246 258 260 284	581652112866
SPT(16)	1368334079510562869	0 20 48 68 122 180 182 204 278 300 302 360 414 434 462 482	869900146632
SPT(16)	1368334139844514747	0 22 36 42 66 100 112 120 136 144 156 190 214 220 234 256	930234098510
STPT(10)	1368334340350502279	0 2 18 20 30 32 42 44 60 62	1130740086042