Prime p₀= 3006522698927446199 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]ATA-Rolf
db: batch=82, k=10, 2 40 2 46 2

STPT(12)	3006521616138108281	0 2 48 50 78 80 90 92 120 122 168 170	-1082789337918
STPT(10)	3006521794885347881	0 2 6 8 18 20 30 32 36 38	-904042098318
SPT(16)	3006522042543034123	0 28 138 148 190 250 328 336 358 366 444 504 546 556 666 694	-656384412076
SPT(16)	3006522274712535133	0 16 24 36 58 66 70 100 114 144 148 156 178 190 198 214	-424214911066
SPT(16)	3006522537541209013	0 54 118 166 174 186 220 228 286 294 328 340 348 396 460 514	-161386237186
STPT(10)	3006522673226061851	0 2 36 38 78 80 120 122 156 158	-25701384348
STPT(10)	3006523139894988269	0 2 48 50 90 92 132 134 180 182	440967542070
SPT(16)	3006523185660225677	0 12 14 56 62 96 140 146 210 216 260 294 300 342 344 356	486732779478
SPT(16)	3006523484351038471	0 22 28 36 66 100 136 150 238 252 288 322 352 360 366 388	785423592272
STPT(10)	3006523499506414211	0 2 30 32 78 80 126 128 156 158	800578968012
STPT(10)	3006523506015892727	0 2 42 44 72 74 102 104 144 146	807088446528