Prime p₀= 2006002756010154617 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 58 2 40 2 40 2 58 2 (?)
a_n: 0 2 60 62 102 104 144 146 204 206
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: 206
Found by: [SG-2W]Kurzer
db: batch=80, k=10, 2 58 2 40 2

STPT(10)	2006000940183776441	0 2 6 8 48 50 90 92 96 98	-1815826378176
STPT(10)	2006001425732929949	0 2 18 20 30 32 42 44 60 62	-1330277224668
SPT(16)	2006001432616511833	0 6 46 54 66 70 88 90 94 96 114 118 130 138 178 184	-1323393642784
STPT(10)	2006001645395073671	0 2 36 38 78 80 120 122 156 158	-1110615080946
STPT(10)	2006001916078501727	0 2 12 14 42 44 72 74 84 86	-839931652890
TPT(14)	2006002141650852731	0 2 66 68 78 80 138 140 156 158 246 248 276 278	-614359301886
SPT(16)	2006003123409261841	0 12 28 42 72 76 82 90 208 216 222 226 256 270 286 298	367399107224
SPT(16)	2006003141938543063	0 10 40 66 84 96 114 136 144 166 184 196 214 240 270 280	385928388446
SPT(16)	2006003927715983513	0 14 36 44 54 66 90 120 140 170 194 206 216 224 246 260	1171705828896
SPT(16)	2006004194782840823	0 68 74 90 110 138 140 174 224 258 260 288 308 324 330 398	1438772686206
STPT(10)	2006004549974924789	0 2 42 44 90 92 138 140 180 182	1793964770172