Prime p₀= 1597282816397278469 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 16 2 10 2 10 2 16 2 (?)
a_n: 0 2 18 20 30 32 42 44 60 62
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: 62
Found by: crashtech
db: batch=78, k=10, 2 16 2 10 2

STPT(10)	1597280731791585947	0 2 30 32 42 44 54 56 84 86	-2084605692522
STPT(10)	1597281298053876101	0 2 6 8 18 20 30 32 36 38	-1518343402368
SPT(16)	1597281353529907541	0 30 66 68 72 116 126 152 156 182 192 236 240 242 278 308	-1462867370928
TPT(14)	1597281490267215029	0 2 30 32 60 62 90 92 102 104 138 140 180 182	-1326130063440
SPT(16)	1597281499634236541	0 38 42 80 102 110 126 158 180 212 228 236 258 296 300 338	-1316763041928
SPT(16)	1597282481566659499	0 30 42 72 78 118 154 174 178 198 234 274 280 310 322 352	-334830618970
SPT(16)	1597283036197416233	0 26 68 84 96 128 138 200 204 266 276 308 320 336 378 404	219800137764
STPT(10)	1597283044666236281	0 2 6 8 48 50 90 92 96 98	228268957812
SPT(16)	1597283479886419327	0 10 22 30 36 70 72 112 144 184 186 220 226 234 246 256	663489140858
SPT(16)	1597283485113858119	0 2 12 30 32 50 84 128 144 188 222 240 242 260 270 272	668716579650
STPT(10)	1597283735488765169	0 2 18 20 30 32 42 44 60 62	919091486700