Prime p₀= 2786357265981267551 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 64 2 70 2 70 2 64 2 (?)
a_n: 0 2 66 68 138 140 210 212 276 278
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: 278
Found by: [SG-2W]Kurzer
db: batch=82, k=10, 2 64 2 70 2

STPT(10)	2786355644105954729	0 2 48 50 90 92 132 134 180 182	-1621875312822
STPT(10)	2786355681690711209	0 2 48 50 60 62 72 74 120 122	-1584290556342
SPT(16)	2786355765461217091	0 16 18 22 36 58 72 88 90 106 120 142 156 160 162 178	-1500520050460
SPT(16)	2786356592383822307	0 2 44 54 56 66 72 84 92 104 110 120 122 132 174 176	-673597445244
SPT(13)	2786356686737351947	0 72 102 120 126 156 186 216 246 252 270 300 372	-579243915604
SPT(16)	2786357176518886507	0 6 36 54 70 94 120 132 154 166 192 216 232 250 280 286	-89462381044
STPT(10)	2786357304982589027	0 2 30 32 42 44 54 56 84 86	39001321476
SPT(16)	2786357557621475113	0 30 64 96 124 168 174 180 184 190 196 240 268 300 334 364	291640207562
SPT(16)	2786357652758569651	0 42 88 90 160 168 198 208 300 310 340 348 418 420 466 508	386777302100
TPT(14)	2786358108721255037	0 2 30 32 60 62 72 74 144 146 180 182 222 224	842739987486
STPT(10)	2786358121998719867	0 2 30 32 42 44 54 56 84 86	856017452316