Prime p₀= 1249336379497968689 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 10 2 76 2 76 2 10 2 (?)
a_n: 0 2 12 14 90 92 168 170 180 182
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: 182
Found by: mikey
db: batch=77, k=10, 2 10 2 76 2

SPT(20)	1249334366225116667	0 2 12 56 80 96 126 140 170 212 234 276 306 320 350 366 390 434 444 446	-2013272852022
STPT(10)	1249334723674400717	0 2 54 56 72 74 90 92 144 146	-1655823567972
SPT(16)	1249335223252514389	0 52 82 94 138 150 154 172 210 228 232 244 288 300 330 382	-1156245454300
STPT(10)	1249335643482810941	0 2 36 38 78 80 120 122 156 158	-736015157748
SPT(16)	1249335752987678201	0 2 18 32 62 72 80 158 240 318 326 336 366 380 396 398	-626510290488
STPT(10)	1249335859486875071	0 2 6 8 18 20 30 32 36 38	-520011093618
STPT(10)	1249336998498905507	0 2 42 44 72 74 102 104 144 146	619000936818
STPT(10)	1249337096827067819	0 2 18 20 30 32 42 44 60 62	717329099130
STPT(10)	1249337110651535201	0 2 6 8 18 20 30 32 36 38	731153566512
SPT(16)	1249337504707482979	0 18 70 84 130 144 204 208 210 214 274 288 334 348 400 418	1125209514290
STPT(10)	1249337744985614201	0 2 30 32 78 80 126 128 156 158	1365487645512