Prime p₀= 1016529770851904117 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 28 2 10 2 10 2 28 2 (?)
a_n: 0 2 30 32 42 44 54 56 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 28 2 10 2

TPT(14)	1016528497130967839	0 2 12 14 102 104 228 230 282 284 342 344 348 350	-1273720936278
STPT(10)	1016528763590825999	0 2 42 44 90 92 138 140 180 182	-1007261078118
SPT(16)	1016528786045986139	0 38 62 72 98 104 164 174 188 198 258 264 290 300 324 362	-984805917978
SPT(16)	1016528861993678741	0 12 50 96 140 156 162 180 182 200 206 222 266 312 350 362	-908858225376
TPT(14)	1016529042521018951	0 2 138 140 156 158 198 200 210 212 306 308 378 380	-728330885166
SPT(16)	1016529151529462633	0 44 56 66 98 128 140 144 170 174 186 216 248 258 270 314	-619322441484
SPT(16)	1016529940193893519	0 30 78 88 108 130 144 148 150 154 168 190 210 220 268 298	169341989402
STPT(10)	1016529966335853659	0 2 18 20 30 32 42 44 60 62	195483949542
STPT(10)	1016529988554762347	0 2 30 32 42 44 54 56 84 86	217702858230
STPT(10)	1016530276587322097	0 2 30 32 42 44 54 56 84 86	505735417980
SPT(16)	1016530289121494557	0 16 102 132 172 222 232 244 252 264 274 324 364 394 480 496	518269590440