Prime p₀= 2006004549974924789 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 40 2 46 2 46 2 40 2 (?)
a_n: 0 2 42 44 90 92 138 140 180 182
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: [SG-2W]Kurzer
db: batch=80, k=10, 2 40 2 46 2

TPT(14)	2006002141650852731	0 2 66 68 78 80 138 140 156 158 246 248 276 278	-2408324072058
STPT(10)	2006002756010154617	0 2 60 62 102 104 144 146 204 206	-1793964770172
SPT(16)	2006003123409261841	0 12 28 42 72 76 82 90 208 216 222 226 256 270 286 298	-1426565662948
SPT(16)	2006003141938543063	0 10 40 66 84 96 114 136 144 166 184 196 214 240 270 280	-1408036381726
SPT(16)	2006003927715983513	0 14 36 44 54 66 90 120 140 170 194 206 216 224 246 260	-622258941276
SPT(16)	2006004194782840823	0 68 74 90 110 138 140 174 224 258 260 288 308 324 330 398	-355192083966
SPT(18)	2006004973865201381	0 20 56 62 72 90 116 122 150 182 210 216 242 260 270 276 312 332	423890276592
STPT(10)	2006005399363717391	0 2 6 8 48 50 90 92 96 98	849388792602
SPT(16)	2006005542670742407	0 12 34 42 46 54 70 112 144 186 202 210 214 222 244 256	992695817618
STPT(10)	2006005606824279881	0 2 6 8 18 20 30 32 36 38	1056849355092
STPT(10)	2006005615418462687	0 2 12 14 42 44 72 74 84 86	1065443537898