Prime p₀= 3005086616585374229 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 16 2 10 2 10 2 16 2 (?)
a_n: 0 2 18 20 30 32 42 44 60 62
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: 62
Found by: [SG-FC] hl
db: batch=82, k=10, 2 16 2 10 2

SPT(16)	3005083938379832171	0 2 36 42 62 66 80 90 122 132 146 150 170 176 210 212	-2678205542058
TPT(14)	3005084033406589787	0 2 30 32 42 44 72 74 90 92 102 104 144 146	-2583178784442
SPT(16)	3005084898635856149	0 38 54 60 68 98 114 128 150 164 180 210 218 224 240 278	-1717949518080
STPT(10)	3005085283438311509	0 2 18 20 60 62 102 104 120 122	-1333147062720
STPT(10)	3005085316088932379	0 2 30 32 120 122 210 212 240 242	-1300496441850
SPT(16)	3005086503999571841	0 12 36 38 66 122 128 152 306 330 336 392 420 422 446 458	-112585802388
SPT(16)	3005087466527877299	0 8 24 32 38 48 50 74 108 132 134 144 150 158 174 182	849942503070
SPT(16)	3005088632271282899	0 84 104 108 158 170 210 228 254 272 312 324 374 378 398 482	2015685908670
STPT(10)	3005088642699362159	0 2 48 50 90 92 132 134 180 182	2026113987930
SPT(16)	3005089138772099179	0 22 34 42 52 64 78 94 108 124 138 150 160 168 180 202	2522186724950
SPT(16)	3005089360202171371	0 30 76 108 142 150 166 178 180 192 208 216 250 282 328 358	2743616797142