Prime p₀= 1007645350349799827 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 10 2 28 2 28 2 10 2 (?)
a_n: 0 2 12 14 42 44 72 74 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=76, k=10, 2 10 2 28 2

SPT(16)	1007643659685075971	0 18 20 32 38 108 120 150 158 188 200 270 276 288 290 308	-1690664723856
STPT(10)	1007643782587742681	0 2 6 8 108 110 210 212 216 218	-1567762057146
TPT(14)	1007643950936552441	0 2 30 32 66 68 78 80 108 110 150 152 246 248	-1399413247386
SPT(20)	1007644089857477669	0 18 62 108 132 134 158 168 210 254 288 332 374 384 408 410 434 480 524 542	-1260492322158
SPT(16)	1007644740710697871	0 28 36 42 82 90 112 162 166 216 238 246 286 292 300 328	-609639101956
STPT(10)	1007645051160803519	0 2 48 50 60 62 72 74 120 122	-299188996308
SPT(16)	1007645382310512223	0 46 88 94 108 120 126 168 196 238 244 256 270 276 318 364	31960712396
SPT(16)	1007645491609634401	0 52 58 66 88 90 112 118 210 216 238 240 262 270 276 328	141259834574
STPT(12)	1007645608413143807	0 2 30 32 84 86 120 122 174 176 204 206	258063343980
STPT(10)	1007645697541998761	0 2 36 38 78 80 120 122 156 158	347192198934
SPT(16)	1007645702986323901	0 12 16 42 52 70 90 106 126 142 162 180 190 216 220 232	352636524074