Prime p₀= 797139856967960687 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: [SG-2W]Kurzer
db: batch=73, k=10, 2 22 2 16 2

SPT(16)	797138525576134229	0 24 38 60 98 132 140 164 168 192 200 234 272 294 308 332	-1331391826458
SPT(16)	797138538624494999	0 8 14 38 60 74 78 84 98 104 108 122 144 168 174 182	-1318343465688
STPT(10)	797138693912097011	0 2 96 98 138 140 180 182 276 278	-1163055863676
TPT(14)	797139096121398059	0 2 30 32 78 80 150 152 162 164 168 170 330 332	-760846562628
SPT(16)	797139122653688489	0 2 8 24 30 80 98 104 108 114 132 182 188 204 210 212	-734314272198
TPT(14)	797139684266849849	0 2 30 32 78 80 90 92 132 134 168 170 198 200	-172701110838
STPT(10)	797139921376389317	0 2 24 26 42 44 60 62 84 86	64408428630
STPT(10)	797140140034071917	0 2 30 32 72 74 114 116 144 146	283066111230
STPT(10)	797140417845105149	0 2 12 14 30 32 48 50 60 62	560877144462
STPT(10)	797140471843203749	0 2 48 50 60 62 72 74 120 122	614875243062
STPT(10)	797140859923258061	0 2 30 32 78 80 126 128 156 158	1002955297374