Prime p₀= 812520300126403367 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 28 2 70 2 70 2 28 2 (?)
a_n: 0 2 30 32 102 104 174 176 204 206
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]FX
db: batch=73, k=10, 2 28 2 70 2

SPT(16)	812519234212959517	0 12 24 82 124 132 150 184 192 226 244 252 294 352 364 376	-1065913443850
STPT(10)	812519547646858949	0 2 42 44 60 62 78 80 120 122	-752479544418
SPT(18)	812519592538144111	0 10 46 66 70 102 108 118 136 162 180 190 196 228 232 252 288 298	-707588259256
STPT(10)	812519693339174657	0 2 42 44 72 74 102 104 144 146	-606787228710
STPT(10)	812520045655153259	0 2 48 50 90 92 132 134 180 182	-254471250108
SPT(16)	812520094746559861	0 22 36 70 90 120 142 160 198 216 238 268 288 322 336 358	-205379843506
STPT(10)	812520308838095327	0 2 30 32 42 44 54 56 84 86	8711691960
STPT(10)	812520349154369417	0 2 42 44 72 74 102 104 144 146	49027966050
TPT(14)	812520458220843221	0 2 48 50 90 92 120 122 126 128 150 152 246 248	158094439854
STPT(10)	812520490174818167	0 2 30 32 42 44 54 56 84 86	190048414800
SPT(16)	812520825546542881	0 16 46 52 70 82 88 108 130 150 156 168 186 192 222 238	525420139514