Prime p₀= 797139921376389317 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)	797138538624494999	0 8 14 38 60 74 78 84 98 104 108 122 144 168 174 182	-1382751894318
STPT(10)	797138693912097011	0 2 96 98 138 140 180 182 276 278	-1227464292306
TPT(14)	797139096121398059	0 2 30 32 78 80 150 152 162 164 168 170 330 332	-825254991258
SPT(16)	797139122653688489	0 2 8 24 30 80 98 104 108 114 132 182 188 204 210 212	-798722700828
TPT(14)	797139684266849849	0 2 30 32 78 80 90 92 132 134 168 170 198 200	-237109539468
STPT(10)	797139856967960687	0 2 24 26 42 44 60 62 84 86	-64408428630
STPT(10)	797140140034071917	0 2 30 32 72 74 114 116 144 146	218657682600
STPT(10)	797140417845105149	0 2 12 14 30 32 48 50 60 62	496468715832
STPT(10)	797140471843203749	0 2 48 50 60 62 72 74 120 122	550466814432
STPT(10)	797140859923258061	0 2 30 32 78 80 126 128 156 158	938546868744
SPT(16)	797140875808180619	0 8 20 24 50 60 78 80 102 104 122 132 158 162 174 182	954431791302