Prime p₀= 573890509809593687 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 10 2 28 2 28 2 10 2 (?)
a_n: 0 2 12 14 42 44 72 74 84 86
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: 86
Found by: paulteo
db: batch=71, k=10, 2 10 2 28 2

TPT(12)	573890415448766321	0 2 36 38 66 68 78 80 90 92 96 98	-94360827366
TPT(12)	573890418312817451	0 2 30 32 60 62 138 140 150 152 240 242	-91496776236
SPT(14)	573890434101979831	0 6 16 18 72 90 118 210 238 256 310 312 322 328	-75707613856
SPT(14)	573890449654138417	0 10 12 34 54 94 132 142 180 220 240 262 264 274	-60155455270
SPT(14)	573890460812121997	0 22 36 42 70 112 120 136 144 186 214 220 234 256	-48997471690
SPT(14)	573890461336944397	0 22 60 70 90 106 112 150 156 172 192 202 240 262	-48472649290
TPT(12)	573890509881396527	0 2 30 32 42 44 54 56 162 164 180 182	71802840
SPT(14)	573890520869416447	0 12 64 82 90 120 142 144 166 196 204 222 274 286	11059822760
TPT(12)	573890524065963701	0 2 78 80 156 158 186 188 198 200 216 218	14256370014
TPT(12)	573890532563405501	0 2 108 110 120 122 138 140 246 248 276 278	22753811814
TPT(12)	573890537264506991	0 2 168 170 240 242 258 260 336 338 438 440	27454913304