Prime p₀= 820187926242519551 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: Theadalus
db: batch=73, k=10, 2 64 2 70 2

TPT(14)	820186816488634961	0 2 18 20 36 38 90 92 120 122 156 158 210 212	-1109753884590
SPT(16)	820186942242038353	0 24 30 90 118 124 160 178 240 258 294 300 328 388 394 418	-984000481198
SPT(16)	820186953671587751	0 6 42 72 86 110 120 132 140 152 162 186 200 230 266 272	-972570931800
SPT(16)	820187693455185221	0 6 20 26 62 108 138 192 206 260 290 336 372 378 392 398	-232787334330
TPT(14)	820187852036855189	0 2 42 44 138 140 180 182 198 200 240 242 252 254	-74205664362
STPT(10)	820187888545679741	0 2 6 8 48 50 90 92 96 98	-37696839810
STPT(10)	820188150917383511	0 2 6 8 48 50 90 92 96 98	224674863960
STPT(10)	820188478090542089	0 2 42 44 90 92 138 140 180 182	551848022538
SPT(16)	820188620886178217	0 20 60 66 116 144 156 170 186 200 212 240 290 296 336 356	694643658666
SPT(16)	820188952022297449	0 4 22 34 70 102 142 160 324 342 382 414 450 462 480 484	1025779777898
STPT(10)	820188996783550787	0 2 30 32 42 44 54 56 84 86	1070541031236