Prime p₀= 798711681667095401 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 4 2 10 2 10 2 4 2 (?)
a_n: 0 2 6 8 18 20 30 32 36 38
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: 38
Found by: [SG-2W]Kurzer
db: batch=73, k=10, 2 4 2 10 2

TPT(14)	798710468889580127	0 2 84 86 114 116 234 236 282 284 420 422 504 506	-1212777515274
STPT(10)	798710618302622321	0 2 6 8 18 20 30 32 36 38	-1063364473080
STPT(10)	798710826983106131	0 2 6 8 48 50 90 92 96 98	-854683989270
SPT(16)	798711105468857167	0 52 70 96 100 112 124 184 192 252 264 276 280 306 324 376	-576198238234
SPT(16)	798711488504810971	0 48 70 90 96 112 126 142 156 172 186 202 208 228 250 298	-193162284430
SPT(16)	798711531348594953	0 20 26 56 78 96 110 140 144 174 188 206 228 258 264 284	-150318500448
STPT(10)	798711737450159957	0 2 54 56 72 74 90 92 144 146	55783064556
SPT(16)	798712028103094531	0 10 40 72 82 100 126 132 160 166 192 210 220 252 282 292	346435999130
SPT(16)	798712065329993531	0 6 8 30 36 66 78 80 96 98 110 140 146 168 170 176	383662898130
STPT(10)	798712096287587927	0 2 30 32 42 44 54 56 84 86	414620492526
SPT(16)	798712177178638729	0 18 40 42 52 94 102 108 154 160 168 210 220 222 244 262	495511543328