Prime p₀= 2770509088257445277 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: Time_Traveler
db: batch=82, k=10, 2 10 2 28 2

TPT(14)	2770507006166061989	0 2 30 32 168 170 180 182 222 224 318 320 360 362	-2082091383288
STPT(10)	2770507309477956437	0 2 54 56 132 134 210 212 264 266	-1778779488840
STPT(10)	2770507320108054557	0 2 30 32 60 62 90 92 120 122	-1768149390720
TPT(14)	2770507369628266691	0 2 78 80 90 92 96 98 126 128 150 152 210 212	-1718629178586
SPT(16)	2770508603656138309	0 24 42 54 84 90 94 144 208 258 262 268 298 310 328 352	-484601306968
STPT(10)	2770508615540839487	0 2 30 32 42 44 54 56 84 86	-472716605790
TPT(14)	2770509126896513069	0 2 72 74 132 134 168 170 210 212 270 272 300 302	38639067792
SPT(16)	2770509748559340017	0 14 32 44 114 116 164 182 294 312 360 362 432 444 462 476	660301894740
SPT(16)	2770510008725891917	0 4 84 102 114 130 150 154 192 196 216 232 244 262 342 346	920468446640
SPT(16)	2770510782896655853	0 48 54 84 96 106 130 160 174 204 228 238 250 280 286 334	1694639210576
SPT(16)	2770510805654226409	0 4 10 64 78 90 108 120 178 190 208 220 234 288 294 298	1717396781132