Prime p₀= 969661400505777167 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: Spectrum
db: batch=76, k=10, 2 22 2 16 2

STPT(10)	969659337134367701	0 2 6 8 48 50 90 92 96 98	-2063371409466
SPT(16)	969659640121694833	0 10 28 114 120 124 150 178 180 208 234 238 244 330 348 358	-1760384082334
SPT(16)	969660370964375929	0 10 18 40 42 88 102 112 150 160 174 220 222 244 252 262	-1029541401238
SPT(16)	969660751397171173	0 16 18 54 58 60 96 106 138 148 184 186 190 226 228 244	-649108605994
STPT(10)	969661146894099587	0 2 30 32 72 74 114 116 144 146	-253611677580
TPT(14)	969661277062007657	0 2 12 14 84 86 114 116 150 152 162 164 252 254	-123443769510
SPT(16)	969661438623890107	0 34 54 72 76 90 96 142 144 190 196 210 214 232 252 286	38118112940
SPT(16)	969661878835824467	0 2 20 42 104 156 164 212 294 342 350 402 464 486 504 506	478330047300
TPT(14)	969661978177003211	0 2 6 8 18 20 48 50 78 80 90 92 126 128	577671226044
STPT(10)	969661978177003217	0 2 12 14 42 44 72 74 84 86	577671226050
SPT(16)	969662445103227329	0 20 24 44 68 104 110 128 150 168 174 210 234 254 258 278	1044597450162