Prime p₀= 822605684524791467 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: arkiss
db: batch=73, k=10, 2 22 2 16 2

SPT(16)	822604379780139499	0 12 28 54 60 72 88 90 112 114 130 142 148 174 190 202	-1304744651968
SPT(16)	822604394612783071	0 6 72 78 100 108 112 126 142 156 160 168 190 196 262 268	-1289912008396
SPT(16)	822604548978251749	0 28 34 40 48 132 154 160 162 168 190 274 282 288 294 322	-1135546539718
STPT(10)	822605392753917467	0 2 60 62 102 104 144 146 204 206	-291770874000
SPT(16)	822605607601457221	0 42 58 112 168 216 246 258 310 322 352 400 456 510 526 568	-76923334246
STPT(10)	822605638669048901	0 2 6 8 18 20 30 32 36 38	-45855742566
TPT(14)	822605925947404637	0 2 42 44 54 56 84 86 150 152 192 194 264 266	241422613170
STPT(10)	822605959482962927	0 2 24 26 42 44 60 62 84 86	274958171460
STPT(10)	822606009840944897	0 2 12 14 42 44 72 74 84 86	325316153430
SPT(16)	822606141539103319	0 4 24 30 84 88 124 138 184 198 234 238 292 298 318 322	457014311852
TPT(14)	822606376681483829	0 2 120 122 222 224 240 242 282 284 420 422 492 494	692156692362