Prime p₀= 2664600217298044367 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 22 2 16 2 16 2 22 2 (?)
a_n: 0 2 24 26 42 44 60 62 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: Coleslaw
db: batch=82, k=10, 2 22 2 16 2

SPT(16)	2664598636222632097	0 36 76 84 120 136 150 154 156 160 174 190 226 234 274 310	-1581075412270
STPT(12)	2664599193471469979	0 2 18 20 30 32 60 62 72 74 90 92	-1023826574388
SPT(16)	2664599509197677599	0 28 42 64 88 114 118 130 132 144 148 174 198 220 234 262	-708100366768
STPT(10)	2664599641750229801	0 2 36 38 78 80 120 122 156 158	-575547814566
STPT(10)	2664599662397960447	0 2 30 32 42 44 54 56 84 86	-554900083920
STPT(10)	2664600031159200191	0 2 36 38 78 80 120 122 156 158	-186138844176
TPT(14)	2664600916310119649	0 2 42 44 90 92 102 104 132 134 198 200 300 302	699012075282
SPT(13)	2664601157651609987	0 30 144 150 156 180 210 240 264 270 276 390 420	940353565620
SPT(16)	2664601208763396313	0 64 76 136 168 196 256 258 316 318 378 406 438 498 510 574	991465351946
SPT(16)	2664601234606586039	0 8 14 24 30 48 62 72 140 150 164 182 188 198 204 212	1017308541672
STPT(10)	2664601480162657307	0 2 30 32 42 44 54 56 84 86	1262864612940